List of Publications

Paper under review

  • B. Costeri, C. Dappiaggi and B. A. Juárez-Aubry,
    “The Hadamard parametrix on globally hyperbolic spacetimes with Robin boundary conditions: Fundamental solutions and Hadamard states,”
    ArXiv:2609.24465 [math-ph]
  • Claudio Dappiaggi, Felix Finster, Niky Kamran and Moritz Reintjes
    “The Fock Space Dynamics of Causal Fermion Systems: Non-Abelian Gauge Fields,”
    ArXiv:2607.08488 [math-ph].
  • B. Costeri, C. Dappiaggi, P. Rinaldi and M. Savasta
    “Schauder estimates for germs of distributions on smooth manifolds,”
    ArXiv:2602.19593 [math-ph].

Books

  1. C. Dappiaggi, V. Moretti and N. Pinamonti
    “Hadamard States from Light-like Hypersurfaces“
    SpringerBriefs in Mathematical Physics 25 — Springer, (2017)
  2. R. Brunetti, C. Dappiaggi, K. Fredenhagen and J. Yngvason (eds.)
    “Advances in Algebraic Quantum Field Theory“
    Mathematical Physics Studies — Springer (2015), 453p.

Peer-Reviewed Papers

  1. C. Dappiaggi and A. Parpinel,
    “Boundary Conditions and Dirac Fields on AdSn,”
    Phys. Rev. D 113, (2026) 125028
    ArXiv:2511.10225 [hep-th].
  2. M. Capoferri, B. Costeri and C. Dappiaggi,
    “Spectral asymmetry via pseudodifferential projections: the massless Dirac operator,”
    Analysis and Mathematical Physics 16 (2026), 74,
    ArXiv:2504.02336 [math-ph],
  3. B. Costeri, C. Dappiaggi, B. A. Juárez-Aubry and R. D. Singh,
    “The Hadamard parametrix on half-Minkowski with Robin boundary conditions: Fundamental solutions and Hadamard states,”
    Annales Henri Poincaré, online first
    ArXiv:2509.26035 [math-ph].
  4. C. Dappiaggi, V. Morinelli, G. Morsella and A. Ranallo,
    “The modular Hamiltonian in asymptotically flat spacetime conformal to Minkowski,”
    Comm. Math. Phys. 406, 268 (2025)
    ArXiv:2505.20191 [math-ph].
  5. J. P. M. Pitelli, B. S. Felipe, C. Dappiaggi and E. Winstanley,
    “Quantum superposition of boundary condition in PAdS2,”
    Phys. Rev. D 111, (2025) 125011
    ArXiv:2503.03934 [hep-th].
  6. C. Dappiaggi, F. Finster, N. Kamran and M. Reintjes,
    “Holographic Mixing and Fock Space Dynamics of Causal Fermion Systems,”
    Ann. Henri Poinc. 27 (2026) 1885
    ArXiv:2410.18045 [math-ph].
  7. B. Costeri, C. Dappiaggi and M. Goi,
    “Conservation Law and Trace Anomaly for the Stress Energy Tensor of a Self-Interacting Scalar Field,”
    Ann. Henri Poinc. 27 (2026) 1843
    ArXiv:2411.07109 [math-ph].
  8. A. Bonicelli, C. Dappiaggi and N. Drago,
    “An algebraic correspondence between stochastic differential equations and the Martin-Siggia-Rose formalism,’‘
    Ann. Henri Poinc. 27 (2026) 1407
    ArXiv:2302.10579 [math-ph].
  9. A. Bonicelli, C. Dappiaggi and P. Rinaldi,
    “On the stochastic Sine-Gordon model: an interacting field theory approach,”
    Comm. Math. Phys. 405 (2024), 288
    ArXiv:2311.01557 [math-ph].
  10. A. Bonicelli, B. Costeri, C. Dappiaggi and P. Rinaldi,
    “A microlocal investigation of stochastic partial differential equations for spinors with an application to the Thirring model,”
    Math. Phys. Anal. & Geom. 27 (2024), 16
    ArXiv:2309.16376 [math-ph].
  11. C. Dappiaggi, F. Nava and L. Sinibaldi,
    “On the interplay between boundary conditions and the Lorentzian Wetterich equation,”
    Rev. Math. Phys. 37, No. 02, (2025) 2450031
    [arXiv:2401.07130 [math-ph]].
  12. L. Campos, C. Dappiaggi and L. Sinibaldi,
    “Boundary conditions and infrared divergences,”
    Phys. Lett. B 848 (2024), 138348
    ArXiv:2308.01281 [gr-qc],
  13. C. Dappiaggi, P. Rinaldi and F. Sclavi,
    “Besov Wavefront Set,’‘
    Anal. Math. Phys. 13, (2023), 95
    ArXiv:2206.06081 [math-ph].
  14. C. Dappiaggi, P. Rinaldi and F. Sclavi,
    “On a microlocal version of Young’s product theorem,“
    Manuscripta Mathematica 174, (2024), 221
    ArXiv: 2104.12423 [math-ph].
  15. L. Campos, C. Dappiaggi and L. Sinibaldi,
    “Hidden freedom in the mode expansion on static spacetimes,”
    Gen. Rel. Grav. 55 (2023) no.3, 50
    ArXiv:2207.08662 [gr-qc].
  16. A. Bonicelli, C. Dappiaggi and P. Rinaldi,
    “An Algebraic and Microlocal Approach to the Stochastic Non-linear Schrödinger Equation,’‘
    Ann. Henri Poinc. 24 (2023) 2443
    ArXiv: 2111.06320 [math-ph].
  17. L. Campos, C. Dappiaggi and L. Sinibaldi,
    “Physical significance of generalized boundary conditions: an Unruh-DeWitt detector viewpoint on PAdS2 x S2,”
    Phys. Lett. B836 (2023) 137597
    ArXiv:2210.02395 [hep-th].
  18. C. Dappiaggi, B.A.Juárez-Aubry and A. Marta,
    “Ground state for the Klein-Gordon field in anti-de Sitter spacetime with dynamical Wentzell boundary conditions,”
    Phys. Rev. D 105 (2022) no.10, 105017
    ArXiv:2203.04811 [hep-th].
  19. C. Dappiaggi, F. Finster and M. Oppio,
    “Linear Bosonic Quantum Field Theories Arising from Causal Variational Principles,”
    Lett. Math. Phys. 112 (2022), 38
    ArXiv: 2112.10656 [math-ph].
  20. L. Campos, C. Dappiaggi and D. Sina
    “On the role of boundary conditions within Hořava-Lifshitz gravity”,
    Phys. Rev. D 104 (2021) no.10, 105008
    ArXiv: 2103.15391 [hep-th].
  21. C. Dappiaggi and A. Marta,
    “Fundamental solutions and Hadamard states for a scalar field with arbitrary boundary conditions on an asymptotically AdS spacetimes”
    Math. Phys. Anal. & Geom. 24 (2021), 28
    ArXiv: 2101.10290 [math-ph].
  22. L. de Souza Campos and C. Dappiaggi,
    “Ground and thermal states for the Klein-Gordon field on a massless hyperbolic black hole with applications to the anti-Hawking effect”
    Phys.Rev. D 103 (2021) 2, 025021
    ArXiv: 2011.03812 [hep-th].
  23. C. Dappiaggi, N. Drago, P. Rinaldi and L. Zambotti,
    “A Microlocal Approach to Renormalization in Stochastic PDEs,”
    Commun. Contemp. Math. 24 (2022) no.07, 2150075
    ArXiv: 2009.07640 [math-ph].
  24. L. de Souza Campos and C. Dappiaggi,
    “Comments on the anti-Hawking effect on a BTZ black hole spacetime”
    Phys. Lett. B 816 (2021), 136198
    ArXiv: 2009.07201 [hep-th].
  25. C. Dappiaggi and A. Marta,
    “A generalization of the propagation of singularities theorem on asymptotically anti-de Sitter spacetimes,”
    Math. Nachr. 295, (2022) no 10, 1934-1968
    ArXiv: 2006.00560 [math-ph].
  26. M. Capoferri, C. Dappiaggi and N. Drago,
    “Global wave parametrices on globally hyperbolic spacetimes”
    J. Math. Anal. Appl. 490 (2020), 124316
    ArXiv: 2001.04164 [math.AP].
  27. C. Dappiaggi, G. Ruzzi and E. Vasselli,
    “Aharonov-Bohm superselection sectors”
    Lett. Math. Phys. 110 (2020), 3244
    ArXiv: 1912.05297 [math-ph].
  28. C. Dappiaggi, N. Drago and R. Longhi,
    “On Maxwell’s Equations on Globally Hyperbolic Spacetimes with Timelike Boundary”
    Ann. Henri Poinc. 21 (2020) 2367
    ArXiv: 1908.09504 [math-ph].
  29. C. Dappiaggi, N. Drago and P. Rinaldi,
    “The algebra of Wick polynomials of a scalar field on a Riemannian manifold”
    Rev. Math. Phys. 32 (2020) no.08, 2050023
    ArXiv:1903.01258 [math-ph].
  30. C. Dappiaggi, F. Finster, S. Murro and E. Radici,
    “The Fermionic Signature Operator in De Sitter Spacetime”
    J. Math. Anal. Appl. 485 (2020) 123808
    ArXiv: 1902.09144 [math-ph].
  31. C. Dappiaggi, and F. Finster,
    “Linearized Fields for Causal Variational Principles: Existence Theory and Causal Structure”
    Methods Appl. Anal. 27 (2020), 1
    ArXiv: 1811.10587 [math-ph].
  32. M. Carfora, C. Dappiaggi, N. Drago and P. Rinaldi,
    “Ricci Flow from the Renormalization of Nonlinear Sigma Models in the Framework of Euclidean Algebraic Quantum Field Theory”
    Comm. Math. Phys. 374 (2019) no.1, 241
    ArXiv: 1809.07652 [math-ph].
  33. F. Bussola and C. Dappiaggi,
    “Tunnelling processes for Hadamard states through a 2+1 dimensional black hole and Hawking radiation” Class. Quant. Grav. 36 (2019) no.1, 015020
    ArXiv: 1806.00427 [gr-qc].
  34. C. Dappiaggi, H. Ferreira and A. Marta,
    “Ground states of a Klein-Gordon field with Robin boundary conditions in global anti-de Sitter spacetime” Phys. Rev. D 98 (2018) no.2, 025005
    ArXiv: 1805.03135 [hep-th].
  35. C. Dappiaggi, N. Drago and H. Ferreira,
    “Fundamental solutions for the wave operator on static Lorentzian manifolds with timelike boundary”
    Lett. Math. Phys. 109 (2019) no.10 2157
    ArXiv: 1804.03434 [math-ph].
  36. C. Dappiaggi, H. Ferreira and B. A. Juárez-Aubry,
    “Mode solutions for a Klein-Gordon field in anti-de Sitter with dynamical boundary conditions of Wentzell type”
    Phys. Rev. D 97 (2018) no.8, 085022
    ArXiv: 1802.00283 [hep-th].
  37. M. Benini, C. Dappiaggi and A. Schenkel,
    “Algebraic quantum field theory on spacetimes with timelike boundary”
    Annales Henri Poincare 19 (2018) no.8, 2401
    ArXiv: 1712.06686 [math-ph].
  38. C. Dappiaggi, H. Ferreira and C. Herdeiro,
    “Superradiance in the BTZ black hole with Robin boundary conditions”
    Phys. Lett. B 778 (2018) 146
    ArXiv: 1710.08039 [gr-qc].
  39. F. Bussola, C. Dappiaggi, H. Ferreira and I. Khavkine,
    “Ground state for a massive scalar field in BTZ spacetime with Robin boundary conditions”
    Phys. Rev. D 96 (2017) no.10, 105016
    ArXiv: 1708.00271 [gr-qc].
  40. G. Canepa, C. Dappiaggi and I. Khavkine,
    “IDEAL characterization of isometry classes of FLRW and inflationary spacetimes”
    Class. Quantum Grav. 35 (2018) 035013
    ArXiv: 1704.05542 [gr-qc].
  41. C. Dappiaggi and H. Ferreira,
    “On the algebraic quantization of a massive scalar field in anti-de-Sitter spacetime”
    Rev. Math. Phys 30 (2018) 1850004
    ArXiv: 1701.07215 [math-ph].
  42. C. Dappiaggi, S. Murro and A. Schenkel,
    “Non-existence of natural states for Abelian Chern-Simons theory,”
    J. Geom. Phys. 116 (2017) 119
    ArXiv: 1612.04080 [math-ph].
  43. M. Benini, M. Capoferri and C. Dappiaggi,
    “Hadamard states for quantum Abelian duality,”
    Annales Henri Poincaré 18 (2017) no.10, 3325
    ArXiv: 1611.10282 [math-ph].
  44. C. Dappiaggi and H. Ferreira,
    “Hadamard states for a scalar field in anti-de Sitter spacetime with arbitrary boundary conditions”
    Phys. Rev. D 94 (2016) no.12, 125016
    ArXiv: 1610.01049 [gr-qc].
  45. C. Dappiaggi, H. Gimperlein, S. Murro and A. Schenkel,
    “Wavefront sets and polarizations on supermanifolds,”
    J. Math. Phys. 58 (2017) no.2, 023504
    ArXiv: 1512.07823 [math-ph].
  46. C. Dappiaggi, N. Drago,
    “A new deformation argument for Hadamard states via an extended Møller operator,”
    Lett. Math. Phys. 106 (2016) no.11, 1587
    ArXiv: 1506.09122 [math-ph].
  47. M. Benini and C. Dappiaggi,
    “Models of free quantum field theories on curved backgrounds”
    in Advances in Algebraic Quantum Field Theory, Springer-Verlag (2015),
    ArXiv: 1505.04298 [math-ph].
  48. C. Dappiaggi,
    “Hadamard States from null Infinity” — invited contribution to Mathematical Quantum Physics, published by Birkähuser Basel,
    ArXiv: 1501.04808 [math-ph].
  49. C. Dappiaggi, G. Nosari and N. Pinamonti,
    “The Casimir effect from the point of view of algebraic quantum field theory”,
    Math. Phys. Anal. Geom. 19 (2016), 1,
    ArXiv: 1412.1409 [math-ph].
  50. C. Dappiaggi and A. Melati,
    “Curvature fluctuations on asymptotically de Sitter spacetimes via the semiclassical Einstein’s equations,”
    Class. Quant. Grav. 31 (2014) 235006
    ArXiv: 1406.2223 [gr-qc].
  51. M. Benini, C. Dappiaggi and S. Murro,
    “Radiative observables for linearized gravity on asymptotically flat spacetimes and their boundary induced states”
    J. Math. Phys. 55 (2014) 082301
    ArXiv: 1404.4551 [gr-qc].
  52. M. Benini, C. Dappiaggi, T.-P. Hack and A. Schenkel,
    “A C*-algebra for quantized principal U(1)-connections on globally hyperbolic Lorentzian manifolds”
    Comm. Math. Phys. 332 (2014) 477
    ArXiv: 1307.3052 [math-ph].
  53. M. Benini, C. Dappiaggi and T.-P. Hack,
    “Quantum Field Theory on Curved Backgrounds -- A Primer"
    Int. Jour. Mod. Phys. A 28 (2013) 1330023
    ArXiv: 1306.0527 [gr-qc], invited review.
  54. M. Benini, C. Dappiaggi and A. Schenkel,
    “Quantized Abelian principal connections on Lorentzian manifolds”
    Comm. Math. Phys 330 (2014) 123
    ArXiv: 1303.2515 [math-ph].
  55. K. Sanders, C. Dappiaggi and T.-P. Hack,
    “Electromagnetism, local covariance, the Aharonov-Bohm effect and Gauss’ law”
    Comm. Math. Phys 328 (2014) 625
    ArXiv: 1211.6420 [math-ph].
  56. M. Benini, C. Dappiaggi and A. Schenkel,
    “Quantum field theory on affine bundles”
    Ann. Henri Poinc. 15 (2014) 171
    ArXiv: 1210.3457 [math-ph].
  57. C. Dappiaggi, D. Siemssen,
    “Hadamard States for the Vector Potential on Asymptotically Flat Spacetimes”
    Rev. Math. Phys. 25 (2013) 1350002
    ArXiv: 1106.5575 [gr-qc].
  58. C. Dappiaggi, B. Lang,
    “Quantization of Maxwell’s equations on curved backgrounds and general local covariance”
    Lett. Math. Phys. 101 (2012) 265
    ArXiv: 1104.1374 [gr-qc].
  59. C.~Dappiaggi
    “Remarks on the Reeh-Schlieder property for higher spin free fields on curved spacetimes”
    Rev. Math. Phys. 23 (2011) 1035
    ArXiv: 1102.5270 [math-ph].
  60. C. Dappiaggi, T.-P. Hack, N. Pinamonti,
    “Approximate KMS states for scalar and spinor fields in Friedmann-Robertson-Walker spacetimes”
    Ann. Henri Poinc. 12 (011) 1449
    ArXiv: 1009.5179 [gr-qc].
  61. C. Dappiaggi, G. Lechner and E. Morfa-Morales,
    “Deformations of quantum field theories on spacetimes with Killing vector fields”
    Comm. Math. Phys. 305 (2011) 99
    ArXiv: 1006.3548 [math-ph].
  62. C. Dappiaggi, N. Pinamonti and M. Porrmann,
    “Local causal structures, Hadamard states and the principle of local covariance in quantum field theory” Comm. Math. Phys. 304 (2011) 459
    ArXiv: 1001.0858 [hep-th].
  63. C. Dappiaggi, V. Moretti and N. Pinamonti,
    “Rigorous construction and Hadamard property of the Unruh state in Schwarzschild spacetime”
    Adv. Theo. Math. Phys. 15 (2011) 355
    ArXiv: 0907.1034 [gr-qc].
  64. C. Dappiaggi, T.-P. Hack and N. Pinamonti,
    “Remarks on the conformal anomaly for Dirac fields”,
    Rev. Math. Phys. 21 (2009) 1241
    ArXiv: 0904.0612 [math-ph].
  65. C. Dappiaggi, V. Moretti and N. Pinamonti,
    “Distinguished quantum states in a class of cosmological spacetimes and their Hadamard property”
    J. Math. Phys. 50, 062304 (2009)
    ArXiv: 0812.4033 [gr-qc].
  66. C. Dappiaggi, V. Moretti and N. Pinamonti,
    “Cosmological horizons and reconstruction of quantum field theories”
    Comm. Math. Phys. 285 (2009) 1129
    ArXiv: 0712.1770 [gr-qc].
  67. C. Dappiaggi, K. Fredenhagen and N. Pinamonti,
    “Stable cosmological models driven by a free quantum scalar field”
    Phys. Rev.D 77 (2008) 104015
    ArXiv: 0801.2850 [gr-qc].
  68. C. Dappiaggi,
    “On the Lagrangian and Hamiltonian formulation of a scalar free field theory at null infinity”
    Rev. Math. Phys. 20 (2008) 801
    ArXiv: math-ph/0607055.
  69. C. Dappiaggi,
    “Projecting massive scalar fields to null infinity”
    Ann. Henri. Poinc. 9 (2008) 35
    ArXiv: 0705.0284 [gr-qc].
  70. M. Carfora, C. Dappiaggi and V. Gili,
    “Boundary Conformal Field Theory and Ribbon Graphs: a tool for open/closed string dualities”
    JHEP 07 (2007) 21
    ArXiv: 0705.2331 [hep-th].
  71. M. Carfora, C. Dappiaggi and V. Gili,
    “Triangulated surfaces in twistor space: A kinematical set up for open /closed string duality”
    JHEP 12 (2006) 17
    ArXiv: hep-th/0607146.
  72. C. Dappiaggi, V. Moretti and N. Pinamonti,
    “Rigorous steps towards holography in asymptotically flat spacetimes”
    Rev. Math. Phys. 18 (2006) 349
    ArXiv: gr-qc/0506069.
  73. B. Bertotti, R. Catenacci and C. Dappiaggi,
    “The legacy of pseudospheres: from geometry to physics”
    Riv. Nuovo Cimento 29 (2006) 1.
  74. C. Dappiaggi and S. Raschi,
    “Spectroscopy of an AdS Reissner-Nordstroem black hole,”
    Int. J. Mod. Phys. D 15 (2006) 439
    ArXiv: gr-qc/0507015.
  75. B. Bertotti, R. Catenacci and C. Dappiaggi,
    “Pseudospheres in geometry and physics: From Beltrami to de Sitter and beyond,”
    Rend. Ist. Lombardo A Sci.Mat.Fis.Chim.Geol. 39 (2007) 165
    ArXiv: math.ho/0506395.
  76. C. Dappiaggi,
    “Elementary particles, holography and the BMS group,”
    Phys. Lett. B 615 (2005) 291
    ArXiv: hep-th/0412142.
  77. C. Dappiaggi,
    “BMS field theory and holography in asymptotically flat space-times”
    JHEP 0411 (2004) 011
    ArXiv: hep-th/0410026.
  78. G. Arcioni and C. Dappiaggi,
    “Holography in asymptotically flat space-times and the BMS group”
    Class. Quant. Grav. 21 (2004) 5655
    ArXiv: hep-th/0312186.
  79. M. Carfora, C. Dappiaggi and A. Marzuoli,
    “The conformal geometry of random Regge triangulations”
    published in ‘Advances in General Relativity and Cosmology’, Giorgio Ferrarese (Ed.)
    ArXiv: gr-qc/0310039.
  80. G. Arcioni and C. Dappiaggi,
    “Exploring the holographic principle in asymptotically flat spacetimes via the BMS group”
    Nucl. Phys. B 674 (2003) 553
    ArXiv: hep-th/0306142.
  81. G. Arcioni, M. Carfora, C. Dappiaggi and A. Marzuoli,
    “The WZW model on random Regge triangulations”
    J. Geom. Phys. 52 (2004) 137
    ArXiv: hep-th/0209031.
  82. M. Carfora, C. Dappiaggi and A. Marzuoli,
    “The modular geometry of random Regge triangulations”
    Class. Quant. Grav. 19 (2002) 5195
    ArXiv: gr-qc/0206077.