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In these notes we review some properties of Statistical Quantum Field Theory at equilibrium, i.e Quantum Field Theory at finite temperature. We explain the relation between finite temperature quantum field theory in (d,1) dimensions and…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Zinn-Justin

The real-time operator formalism for thermal quantum field theories, thermofield dynamics, is formulated in terms of a path-integral approach in non-commutative spaces. As an application, the two-point function for a thermal non-commutative…

High Energy Physics - Theory · Physics 2015-05-18 Marcelo L. Costa , Amilcar R. Queiroz , Ademir E. Santana

We study under which conditions an overdamped regime can be attained in the dynamic evolution of a quantum field configuration. Using a real-time formulation of finite temperature field theory, we compute the effective evolution equation of…

High Energy Physics - Phenomenology · Physics 2011-05-05 Arjun Berera , Marcelo Gleiser , Rudnei O. Ramos

The fermionic dispersion relation in the presence of a background magnetic field and a high temperature QED plasma is calculated exactly in the external field, using the Hard Thermal Loop effective action. As the field strength increases…

High Energy Physics - Phenomenology · Physics 2009-10-28 Per Elmfors

The aim of this article is to calculate (to first order in $\hbar$) the renormalized effective action of a self interacting massive scalar field propagating in the space-time due to a cylindrically symmetric, rotating body. The vacuum…

High Energy Physics - Theory · Physics 2007-05-23 J. A. Briginshaw

We explore systems with a large number of fermionic degrees of freedom subject to non-local interactions. We study both vector and matrix-like models with quartic interactions. The exact thermal partition function is expressed in terms of…

High Energy Physics - Theory · Physics 2017-04-26 Dionysios Anninos , Guillermo A. Silva

The thermodynamics of the classical frustrated spin chain near the transition point between the ferromagnetic and the helical phases is studied. The calculation of the partition and spin correlation functions at low temperature limit is…

Statistical Mechanics · Physics 2015-05-19 D. V. Dmitriev , V. Ya. Krivnov

In this work we outline the general analytic characteristics satisfied by scalar correlation functions at finite temperature in local quantum field theory. We demonstrate that the locality of the fields in particular imposes significant…

High Energy Physics - Theory · Physics 2022-09-14 Peter Lowdon

The complete nonperturbative expressions for the high-temperature expansion of the one-loop effective action induced by the charged scalar and the charged Dirac particles both at zero and finite temperatures are derived with account for…

High Energy Physics - Theory · Physics 2017-12-25 I. S. Kalinichenko , P. O. Kazinski

We consider the finite-temperature frequency and momentum dependent two-point functions of local operators in integrable quantum field theories. We focus on the case where the zero temperature correlation function is dominated by a…

Strongly Correlated Electrons · Physics 2015-05-13 F. H. L. Essler , R. M. Konik

The density operator for a quantum system in thermal equilibrium with its environment depends on Planck's constant, as well as the temperature. At high temperatures, the Weyl representation, that is, the thermal Wigner function, becomes…

Quantum Physics · Physics 2021-06-30 Alfredo M. Ozorio de Almeida , Gert-Ludwig Ingold , Olivier Brodier

One-loop effective action of noncommutative scalar field theory with cubic self-interaction is studied. Utilizing worldline formulation, both planar and nonplanar part of the effective action are computed explicitly. We find complete…

High Energy Physics - Theory · Physics 2011-09-13 Youngjai Kiem , Soo-Jong Rey , Haru-Tada Sato , Jung-Tay Yee

The heat kernel expansion for field theory at finite temperature is constructed. It is based on the imaginary time formalism and applies to generic Klein-Gordon operators in flat space-time. Full gauge invariance is manifest at each order…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Megias , E. Ruiz Arriola , L. L. Salcedo

The relationship between the mean-field approximations in various interacting models of statistical physics and measures of classical and quantum correlations is explored. We present a method that allows us to bound the total amount of…

Quantum Physics · Physics 2009-11-10 Vlatko Vedral

The four dimensional critical scalar theory at equilibrium with a thermal bath at temperature $T$ is considered. The thermal equilibrium state is labeled by $n$ the winding number of the vacua around the compact imaginary-time direction…

High Energy Physics - Theory · Physics 2021-02-25 Farhang Loran

The pair correlation function of a strongly interacting one-dimensional quantum dot is evaluated analytically within the framework of the spin coherent Luttinger liquid model. The influence of electron interactions and temperature on the…

Mesoscale and Nanoscale Physics · Physics 2013-09-12 N. Traverso Ziani , F. Cavaliere , E. Mariani , M. Sassetti

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

The interplay of quantum and thermal fluctuations in the vicinity of a quantum critical point characterizes the physics of strongly correlated systems. Here we investigate this interplay from a quantum information perspective presenting the…

Strongly Correlated Electrons · Physics 2018-10-30 Marco Gabbrielli , Augusto Smerzi , Luca Pezzè

Low-temperature magnetic properties of both classical and quantum dimerized ferromagnetic spin chains are studied. It is shown that at low temperatures the classical dimerized model reduces to the classical uniform model with the effective…

Strongly Correlated Electrons · Physics 2013-05-30 D. V. Dmitriev , V. Ya. Krivnov

We consider quantum-to-classical mapping for an arbitrary system of interacting spins at finite temperatures. We prove that, in the large-$S$ limit, the asymptotic form of the partition function coincides with that of a classical model for…

Statistical Mechanics · Physics 2026-02-19 A. El Mendili , M. E. Zhitomirsky