| [4] V. Moretti: Spectral Theory and Quantum Mechanics with an introduction to the Algebraic Formulation of Quantum Theories. 1st edition 815 pages Springer 2012 (in press) [3] V. Moretti: Spectral Theory and Quantum Mechanics, operators in Hilbert spaces. 1st edition 704 pages (in Italian) Springer 2010 ISBN:978-88-470-1610-1 review of the book by Zentralblatt MATH [2] A. Bytsenko, G. Cognola, E. Elizalde, V. Moretti and S. Zerbini: Analytic Aspects of Quantum Fields. 350 pages World Scientific Publishing, 2003, ISBN:981-238-364-6 review of the book by Zentralblatt MATH [1] V. Moretti and N. Pinamonti: The interplay of conformal invariance, Quantum Field Theory near the horizon of a 2D black hole and Holography invited contribution to the book "Focus in Mathematical Physics Research" 75 pages Nova Science Publishers, Inc. NY, 2004, ISBN:1-59033-923-1 |
| In progress |
| [50] R.Brunetti,
C.J. Fewster and V.
Moretti: paper about topological sectors and
twisted fields. |
| [49] V.
Moretti
and R.Verch:
paper
about
punctured Haag duality in
globally hyperbolic static (not necessarily ultrastatic)
spacetimes. |
| [48] R. Ghiloni, V.
Moretti
and A. Perotti
paper
about functional calculus in quaternionic Hilbert spaces. |
| [47] G. Collini, V.
Moretti
and N. Pinamonti
paper
about Hawking radiation and tunneling effect for self-interacting phi^3 theory |
| submitted papers |
| [46] V.
Moretti and D. Pastorello: Generalized Complex Spherical Harmonics, Frame Functions, and Gleason Theorem UTM 752 arXiv:1205.4504 [45] E. Annigoni and V. Moretti: Mass operator and dynamical implementation of mass superselection rule UTM 751 arXiv:1205.1372 [44] T.-P. Hack and V. Moretti On the Stress-Energy Tensor of Quantum Fields in Curved Spacetimes - Comparison of Different Regularization Schemes and Symmetry of the Hadamard/Seeley-DeWitt Coefficients arXiv:1202.5107 |
| Papers published or accepted for publication |
| [43] V.
Moretti, N.
Pinamonti: State independence for tunneling processes through black hole horizons. Commun. Math. Phys. 309 (2012) 295-311 |
| [42] C. Dappiaggi, V.
Moretti and N.
Pinamonti: Rigorous construction and Hadamard property of the Unruh state in Schwarzschild spacetime. Adv. Theor. Math. Phys. 15, vol 2, 355-448 (2011) |
| [41] V.
Moretti: Local zeta-functions, stress-energy tensor, field fluctuations, and all that, in curved static spacetime, 10 pages Invited contribution to the volume: Cosmology, Quantum Vacuum, and Zeta Functions, Springer Proc.Phys. 137 (2011) 323-332 |
| [40] V.
Moretti and N.
Pinamonti: Black Hole Horizons and Thermodynamics: A Quantum Approach. Entropy 12, 1833-1854 (2010), special issue "Entropy in Quantum Gravity". 21 pages |
| [39]
R.Brunetti, L. Franceschini, V.
Moretti: Topological
features of massive bosons on two dimensional Einstein space-time. Ann. Henri Poincaré 10, 1027-1073 (2009). DOI 10.1007/s00023-009-0007-x 47 pages |
| [38]
C.Dappiaggi, V.
Moretti, N. Pinamonti: Distinguished quantum states in a class of
cosmological spacetimes and their Hadamard property. J. Math. Phys. 50, 062304 (2009). 39 pages |
| [37]
C.Dappiaggi, V.
Moretti, N. Pinamonti: Cosmological horizons and reconstruction
of quantum field theories. Commun. Math. Phys. 285, 1129 (2009). 32 pages |
| [36] V.
Moretti: Quantum
out-states states holographically induced by asymptotic flatness:
Invariance
under spacetime symmetries, energy positivity and Hadamard property. Commun. Math. Phys. 279, 31 (2008). 44 pages |
| [35] V.
Moretti: Some
recent results in linear scalar quantum field theory in globally
hyperbolic asymptotically flat spacetimes, Invited plenary talk given at the XVII SIGRAV Conference, Torino, September 4-7, 2006. (gr-qc/0611125) Published online by Sigrav (2007). 10 pages |
| [34]
R.
Brunetti and V.
Moretti: Quantum
Field Theories in Curved Spacetime [topical article], (2007) Invited (V. Moretti) contribution for Encyclopedia of Mathematical Physics (by Springer). |
| [33] V.
Moretti: Uniqueness
theorems for BMS-invariant states of scalar QFT on the null boundary of
asymptotically flat spacetimes and bulk-boundary observable algebra
correspondence Commun. Math. Phys. 268, 727 (2006). 30 pages |
| [32] C.
Dappiaggi, V.
Moretti and N.
Pinamonti: Rigorous
Steps towards
Holography
in Asymptotically Flat Spacetimes Rev. Math. Phys. 18, 349 (2006). 67 pages |
| [31] V.
Moretti: Bose-Einstein
condensate and Spontaneous Breaking of Conformal Symmetry
on Killing Horizons II,
J. Math. Phys. 47, 032302 (2006). 5 pages |
| [30] V.
Moretti: The interplay of polar decomposition
theorem and
Lorentz group. invited contribution for Variations on a century of relativity: theory and applications, Lecture notes of Seminario Interdisciplinare di Matematica, 5, 153, (2006). 18 pages Editor. S. Dragomir |
| [29]
V.
Moretti and N. Pinamonti:
Bose-Einstein
condensate and Spontaneous Breaking of Conformal Symmetry
on Killing Horizons J. Math. Phys. 46, 062303 (2005) . 29 pages |
| [28] V.
Moretti and N. Pinamonti:
Quantum Virasoro algebra with central
charge
c=1 on the horizon of a
2D Rindler spacetime J. Math. Phys. 45, 257 (2004). 28 pages |
| [27] V.
Moretti and N. Pinamonti:
Holography and SL(2,R) symmetry
in 2D Rindler spacetime. J. Math. Phys. 45, 230 (2004). 27 pages |
| [26] V.
Moretti and N. Pinamonti:
QFT holography near the horizon of
a black hole invited contribution for Quantum Gravity and Cosmology, Special issue of Vestnik of Tomsk State Pedagogical University, 7 (44) 2004)(December). Pages 109-115. 7 pages ISBN 1609-624X., Editor S.D. Odintsov. |
| [25] V.
Moretti and N. Pinamonti:
Aspects of Hidden and
manifest SL(2,R) symmetry in 2D near horizon black hole background Nucl.Phys.B 647, 131 (2002). 22 pages |
| [24] V. Moretti:
Aspects
of
noncommutative Lorentzian geometry for globally hyperbolic
spacetimes Rev. Math. Phys. 15, 1171 (2003). 47 pages |
| [23] V. Moretti: Comments
on the
stress-energy tensor operator in
curved spacetime Commun. Math. Phys. 232, 189 (2003). 33 pages |
| [22] E. Elizalde,
V. Moretti
, S.Zerbini: On recent strategies proposed for proving the Riemann
hypothesis Int. J. Mod. Phys. A 18, 2189 (2003). 7 pages |
|
[21] V.
Moretti : A review on recent results of the z-function
regularization procedure in curved spacetime
Published in Recent developments in General Relativity, Springer-Verlag 2000. Editors: D. Fortunato, M. Francaviglia, A. Masiello, 7 pages |
| [20] V.
Moretti : Proof of the symmetry of the off-diagonal
Hadamard/Seeley-deWitt's coefficients in smooth Lorentzian manifolds by
a local Wick rotation Commun. Math. Phys. 212, 165 (2000). 25 pages |
| [19]
V.
Moretti : Proof of the symmetry of the
off-diagonal heat-kernel and
Hadamard's expansion coefficients in general smoothRiemannian manifolds Commun. Math. Phys. 208, 283 (1999). 26 pages |
| [18] V.
Moretti : One-loop stress-tensor renormalization in
curved
background: the relation
between z-function and point-splitting approaches, and an improved point-splitting procedure J.Math.Phys.40,3843(1999). 33 pages |
| [17]
V.
Moretti : Localz-function techniques vs point-splitting
procedures: a few rigorous results Commun. Math. Phys. 201, 327 (1999). 37 pages |
| [16]
D.
Binosi, V.
Moretti , L. Vanzo, S. Zerbini: Quantum Scalar
field on the massless (2+1) dimensional black hole Phys.Rev. D 59, 104017 (1999). 13 pages |
| [15]
D.
Iellici and V. Moretti
: z-function regularization and one-loop renormalization
of field fluctuations in curved spacetimes Phys. Lett. B 425, 33 (1998). 8 pages |
| [14]
D. Klemm, V.
Moretti , L. Vanzo: Rotating topological black holes Phys. Rev. D 57, 6127 (1998). 11 pages |
| [13]
V.
Moretti : z-function renormalization of one-loop stress
tensors
in curved spacetimes: a
check on the method in the conical manifold
and other cases ( hep-th/9706191 ) Published as a part of Phys. Rev.D 56 7797 (1997). |
| [12]
V.
Moretti and D. Iellici
: Optical Approach for the thermal Partition Function of
Photons Phys. Rev.D 55, 3552 (1997). 11 pages |
| [11] V.
Moretti : Direct z-function approach and renormalization
of one-loop stress
tensor in curved spacetimes Phys. Rev.D 56, 7797 (1997). 23 pages |
| [10] V.
Moretti : Euclidean Thermal Green Functions of Photons in
Generalized Euclidean Rindler Spaces for any Feynman-like gauge Int. J. Mod. Phys. A 12, 3787 (1997). 12 pages |
| [9]
V.
Moretti : Geometric entropy and
curvature coupling in conical spaces: z-function approach Class.Quant.Grav. 14 L123 (1997). 5 pages |
| [8] V.
Moretti : Canonical Quantization of Photons in a Rindler Wedge J. Math. Phys. 38, 2922 (1997). 32 pages |
| [7] D.
Iellici and V. Moretti
: Kabat's surface terms in the zeta-function approach Published in General Relativity and Gravitational Physics, World Scientific 1996, 5 pages Editors: M. Bassan, V. Ferrari, M. Francaviglia, F. Fucito, I. Modena. |
| [6] D.
Iellici and V. Moretti
: Thermal partition function of photons and gravitons in
a Rindler wedge Phys.Rev.D 54, 7459 (1996). 5 pages |
| [5] V.
Moretti and S. Steidl
: A Bisognano-Wichmann-like Theorem in a certain case of
Non Bifurcate Event Horizon related to an Extreme
Reisner-Nordström Black Hole Class. Quant. Grav. 13, 2121 (1996). 23 pages |
| [4] V.
Moretti : Hessling's Quantum Equivalence Principle and the
Temperature of anExtremalReisner-Nordström Black Hole ( gr-qc/9510016 ). Published as a part of Class. Quant. Grav. 13, 985 (1996). |
| [3] V.
Moretti : Wightman Functions' Behaviour on the Horizon of an
ExtremalReisner-Nordström Black Hole Class. Quant. Grav. 13, 985 (1996). 22 pages |
| [2] V.
Moretti and L.Vanzo
: Thermal Wightman Functions and Renormalized Stress Tensors in the
Rindler Wedge Phys. Lett.B 375, 54 (1996). 6 pages |
| unpublished papers |
| [1] V. Moretti : On gran
canonical Green Functions in Rindler wedge |