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In this paper we study the system of a scalar quantum field confined between two plane, isotropic, and homogeneous parallel plates at thermal equilibrium. We represent the plates by the most general lossless and frequency-independent…

High Energy Physics - Theory · Physics 2020-09-01 J. M. Munoz-Castaneda , L. Santamaria-Sanz , M. Donaire , M. Tello-Fraile

In quantum electrodynamics, optical processes are theoretically described by double-sided Feynman diagrams. This formalism is powerful in the case of molecules but proves inappropriate to account for light-matter interactions within complex…

Optics · Physics 2019-06-10 T. Noblet , C. Humbert

We present the details of a recently discovered representation of conformal four-point ladder integrals as thermal one-point functions in scalar field theories. We show that the conformal ladder integrals can be constructed from the…

High Energy Physics - Theory · Physics 2025-10-17 Manthos Karydas , Songyuan Li , Anastasios C. Petkou , Matthieu Vilatte

We derive the thermal correlators for twisted quantum fields on noncommutative spacetime. We show that the thermal expectation value of the number operator is same as in commutative spacetime, but that higher correlators are sensitive to…

High Energy Physics - Theory · Physics 2014-11-20 Prasad Basu , Rahul Srivastava , Sachindeo Vaidya

Thermodynamics provides a useful interpretation of scalar-tensor gravity, in which the effective imperfect fluid admitted by the nonminimal coupling features a temperature that is associated with the departure from general relativity.…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Laur Järv , Sotirios Karamitsos

Inspired by recent results in the context of AdS/CFT integrability, we reconsider the Thermodynamic Bethe Ansatz equations describing the 1D fermionic Hubbard model at finite temperature. We prove that the infinite set of TBA equations are…

High Energy Physics - Theory · Physics 2015-06-04 Andrea Cavaglià , Martina Cornagliotto , Massimo Mattelliano , Roberto Tateo

We consider a general situation where a charged massive scalar field $\phi(x)$ at finite temperature interacts with a magnetic flux cosmic string. We determine a general expression for the Euclidean thermal Green's function of the massive…

General Relativity and Quantum Cosmology · Physics 2010-04-06 M. E. X. Guimarães

This paper is the first in a series revisiting the Faraday effect, or more generally, the theory of electronic quantum transport/optical response in bulk media in the presence of a constant magnetic field. The independent electron…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Horia D. Cornean , G. Nenciu , Thomas G. Pedersen

We show that sums over graphs such as appear in the theory of Feynman diagrams can be seen as integrals over discrete groupoids. From this point of view, basic combinatorial formulas of the theory of Feynman diagrams can be interpreted as…

Category Theory · Mathematics 2013-09-30 Domenico Fiorenza

This paper provides a systematic and complete study of thermal gauge theory for generic equilibrium density matrices, which feature arbitrary values not only of temperature and chemical potentials, but also of average angular momentum. This…

High Energy Physics - Theory · Physics 2026-01-28 Alberto Salvio

A Fourier-Matsubara series expansion is derived for imaginary-time correlation functions that constitutes the imaginary-time generalization of the infinite Matsubara series for equal-time correlation functions. The expansion is consistent…

Strongly Correlated Electrons · Physics 2024-07-17 Panagiotis Tolias , Fotios Kalkavouras , Tobias Dornheim

It has been recently shown that a certain non-topological spin foam model can be obtained from the Feynman expansion of a field theory over a group. The field theory defines a natural ``sum over triangulations'', which removes the cut off…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Michael Reisenberger , Carlo Rovelli

We analyze the many-particle Schrodinger equation for fermions in a thermal ensemble by introducing an exponential operator expansion, defined in the context of thermofield dynamics. The expansion is optimized variationally at each time…

Statistical Mechanics · Physics 2020-01-10 Edward B. Baker

We present an approach to deriving positivity bounds on effective field theories by analyzing the thermodynamic behavior of thermal quantum field systems. Focusing on scalar theories with higher-dimensional operators, we compute the…

High Energy Physics - Theory · Physics 2026-04-09 Xin-Yi Liu , Yongjun Xu

We give an explicit proof of equivalence of the two-point function to one-loop order in the two formalisms of thermal $\lambda \phi^3$ theory based on the expressions in the real-time formalism. It is indicated that the key-point of…

High Energy Physics - Theory · Physics 2018-01-17 Bang-Rong Zhou

We describe a novel method to obtain thermodynamic properties of quantum systems using Baysian Inference -- Maximum Entropy techniques. The method is applicable to energy values sampled at a discrete set of temperatures from Quantum Monte…

Condensed Matter · Physics 2009-10-31 Carey Huscroft , Richard Gass , Mark Jarrell

We consider a free Dirac field in flat spacetime and we derive the representation of the Minkowski vacuum as an element of the Rindler-Fock space. We also compute the statistical operator obtained by tracing away the left wedge. We detail…

High Energy Physics - Theory · Physics 2023-06-06 Riccardo Falcone , Claudio Conti

Conventionally, one calculates a zero in a beta function by computing this function to a given loop order and solving for the zero. Here we discuss a different method which is applicable in theories where one can perform a partial…

High Energy Physics - Theory · Physics 2015-07-02 Robert Shrock

We investigate the vacuum and thermal fluctuations of a neutral massless scalar field living in Minkowski spacetime and interacting with a finite number of point-like obstacles, modelled by zero-range potentials. The system is described…

Mathematical Physics · Physics 2026-05-12 Davide Fermi , Marco Gurgoglione

It is shown that exact solvability of the finite temperature massless Thirring model, as well as of its zero temperature case, in canonical quantization scheme originates from the intrinsic hidden exact linearizability of Heisenberg…

High Energy Physics - Theory · Physics 2011-09-13 V. V. Semenov , S. E. Korenblit