List of Publications

Paper under review

  • B. Costeri, C. Dappiaggi, P. Rinaldi and M. Savasta
    “Schauder estimates for germs of distributions on smooth manifolds,”
    ArXiv:2602.19593 [math-ph].
  • C. Dappiaggi and A. Parpinel,
    “Boundary Conditions and Dirac Fields on AdSn,”
    ArXiv:2511.10225 [hep-th].
  • M. Capoferri, B. Costeri and C. Dappiaggi,
    “Spectral asymmetry via pseudodifferential projections: the massless Dirac operator,”
    ArXiv:2504.02336 [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. 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,”
    ArXiv:2509.26035 [math-ph], accepted on Annales Henri Poincaré.
  2. 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].
  3. 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].
  4. C. Dappiaggi, F. Finster, N. Kamran and M. Reintjes,
    “Holographic Mixing and Fock Space Dynamics of Causal Fermion Systems,”
    Annales Henri Poincaré, online first
    ArXiv:2410.18045 [math-ph].
  5. B. Costeri, C. Dappiaggi and M. Goi,
    “Conservation Law and Trace Anomaly for the Stress Energy Tensor of a Self-Interacting Scalar Field,”
    Annales Henri Poincaré, online first
    ArXiv:2411.07109 [math-ph].
  6. A. Bonicelli, C. Dappiaggi and N. Drago,
    “An algebraic correspondence between stochastic differential equations and the Martin-Siggia-Rose formalism,’‘
    Annales Henri Poincaré, online first,
    ArXiv:2302.10579 [math-ph].
  7. 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].
  8. 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].
  9. 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]].
  10. L. Campos, C. Dappiaggi and L. Sinibaldi,
    “Boundary conditions and infrared divergences,”
    Phys. Lett. B 848 (2024), 138348
    ArXiv:2308.01281 [gr-qc],
  11. C. Dappiaggi, P. Rinaldi and F. Sclavi,
    “Besov Wavefront Set,’‘
    Anal. Math. Phys. 13, (2023), 95
    ArXiv:2206.06081 [math-ph].
  12. 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].
  13. 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].
  14. 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].
  15. 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].
  16. 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].
  17. 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].
  18. 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].
  19. 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].
  20. 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].
  21. 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].
  22. 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].
  23. 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].
  24. 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].
  25. C. Dappiaggi, G. Ruzzi and E. Vasselli,
    “Aharonov-Bohm superselection sectors”
    Lett. Math. Phys. 110 (2020), 3244
    ArXiv: 1912.05297 [math-ph].
  26. 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].
  27. 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].
  28. 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].
  29. 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].
  30. 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].
  31. 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].
  32. 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].
  33. 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].
  34. 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].
  35. 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].
  36. 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].
  37. 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].
  38. 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].
  39. 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].
  40. 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].
  41. 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].
  42. 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].
  43. 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].
  44. 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].
  45. 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].
  46. C. Dappiaggi,
    “Hadamard States from null Infinity” — invited contribution to Mathematical Quantum Physics, published by Birkähuser Basel,
    ArXiv: 1501.04808 [math-ph].
  47. 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].
  48. 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].
  49. 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].
  50. 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].
  51. 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.
  52. 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].
  53. 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].
  54. M. Benini, C. Dappiaggi and A. Schenkel,
    “Quantum field theory on affine bundles”
    Ann. Henri Poinc. 15 (2014) 171
    ArXiv: 1210.3457 [math-ph].
  55. 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].
  56. 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].
  57. 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].
  58. 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].
  59. 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].
  60. 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].
  61. 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].
  62. 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].
  63. 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].
  64. 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].
  65. 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].
  66. 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.
  67. C. Dappiaggi,
    “Projecting massive scalar fields to null infinity”
    Ann. Henri. Poinc. 9 (2008) 35
    ArXiv: 0705.0284 [gr-qc].
  68. 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].
  69. 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.
  70. 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.
  71. B. Bertotti, R. Catenacci and C. Dappiaggi,
    “The legacy of pseudospheres: from geometry to physics”
    Riv. Nuovo Cimento 29 (2006) 1.
  72. 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.
  73. 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.
  74. C. Dappiaggi,
    “Elementary particles, holography and the BMS group,”
    Phys. Lett. B 615 (2005) 291
    ArXiv: hep-th/0412142.
  75. C. Dappiaggi,
    “BMS field theory and holography in asymptotically flat space-times”
    JHEP 0411 (2004) 011
    ArXiv: hep-th/0410026.
  76. 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.
  77. 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.
  78. 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.
  79. 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.
  80. M. Carfora, C. Dappiaggi and A. Marzuoli,
    “The modular geometry of random Regge triangulations”
    Class. Quant. Grav. 19 (2002) 5195
    ArXiv: gr-qc/0206077.