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A Dirac picture perturbation theory is developed for the time evolution operator in classical dynamics in the spirit of the Schwinger-Feynman-Dyson perturbation expansion and detailed rules are derived for computations. Complexification…

High Energy Physics - Theory · Physics 2008-11-26 E. B. Manoukian , N. Yongram

We derive Feynman rules for gauge theories exhibiting spontaneous symmetry breaking using the real-time formalism of finite temperature field theory. We also derive the thermal propagators where only the physical degrees of freedom are…

High Energy Physics - Phenomenology · Physics 2009-10-22 T. S. Evans , A. C. Pearson

In this work we consider the 1-component real scalar $\phi^4$ theory in 4 space-time dimensions on the lattice and investigate the finite size scaling of thermodynamic quantities to study whether the thermodynamic limit is attained. The…

High Energy Physics - Lattice · Physics 2010-08-24 Debasish Banerjee , Saumen Datta , Sourendu Gupta

Real-time evolution of replicas of classical field is proposed as an approximate simulator of real-time quantum field dynamics at finite temperatures. We consider $N$ classical field configurations dubbed as replicas which interact with…

High Energy Physics - Lattice · Physics 2020-11-02 Akira Ohnishi , Hidefumi Matsuda , Teiji Kunihiro , Toru T. Takahashi

We derive an action for scalar quantum field theory with cubic interaction in the context of relative locality. Beginning with the generating functional for standard $\varphi^3$--theory and the corresponding Feynman rules we modify them to…

High Energy Physics - Theory · Physics 2013-12-16 Laurent Freidel , Trevor Rempel

Scalar field theory at finite temperature is investigated via an improved renormalization group prescription which provides an effective resummation over all possible non-overlapping higher loop graphs. Explicit analyses for the lambda…

High Energy Physics - Theory · Physics 2009-10-28 Sen-Ben Liao , Michael Strickland

The optimized linear $\delta$-expansion is applied to the $\lambda \phi^4$ theory at high temperature. Using the imaginary time formalism the thermal mass is evaluated perturbatively up to order $\delta^2$. A variational procedure…

High Energy Physics - Phenomenology · Physics 2014-11-17 Marcus B. Pinto , Rudnei O. Ramos

We discuss the cutting rules in the real time approach to finite temperature field theory and show the existence of cancellations among classes of cut graphs which allows a physical interpretation of the imaginary part of the relevant…

High Energy Physics - Phenomenology · Physics 2009-10-28 P. F. Bedaque , A. Das , S. Naik

At high temperature the infrared modes of a weakly coupled quantum field theory can be treated nonperturbatively in real time using the classical field approximation. We use this to introduce a nonperturbative approach to the calculation of…

High Energy Physics - Phenomenology · Physics 2009-11-07 Gert Aarts

Field theory at nonvanishing temperature beyond perturbation theory is discussed for the $N$-component $O(N)$-symmetric scalar theory. We compute the effective potential directly in three dimensions using an exact evolution equation for an…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Berges

We investigate the renormalizability of the classical $\phi^4$ theory at finite temperature. We calculate the time-dependent two point function to two loop order and show that it can be rendered finite by the counterterms of the classical…

High Energy Physics - Phenomenology · Physics 2009-10-30 Gert Aarts , Jan Smit

We study thermal effects for a noncommutative real scalar field in 2+1 dimensions including a Grosse-Wulkenhaar term. Using a perturbative expansion for the free energy, we deduce some general properties of the corresponding contributions,…

High Energy Physics - Theory · Physics 2008-11-26 C. D. Fosco , G. A. Silva

Thermal field theory is an essential tool for comprehending various physical phenomena, including astrophysical objects such as neutron stars and white dwarfs, as well as the early stages of the universe. Nonetheless, the traditional…

General Relativity and Quantum Cosmology · Physics 2025-11-13 Susobhan Mandal

We derive and analyze the perturbation series for the classical effective action in quantum statistical mechanics, treated as a toy model for the dimensionally reduced effective action in quantum field theory at finite temperature. The…

High Energy Physics - Theory · Physics 2007-05-23 C. A. A. de Carvalho , R. M. Cavalcanti

A quantum scalar field theory with spacetime-dependent coupling is studied. Surprisingly, while translation invariance is explicitly broken in the classical theory, momentum conservation is recovered at the quantum level for some specific…

High Energy Physics - Theory · Physics 2014-01-29 Gianluca Calcagni , Giuseppe Nardelli

This paper is a slightly modified version of the introductory part of a doctoral dissertation also containing the articles hep-ph/0311268, hep-ph/0510375, hep-ph/0512177 and hep-ph/0701250. The thesis discusses effective field theory…

High Energy Physics - Phenomenology · Physics 2007-09-19 M. Vepsalainen

It is shown that the perturbative expansions of the correlation functions of a relativistic quantum field theory at finite temperature are uniquely determined by the equations of motion and standard axiomatic requirements, including the KMS…

High Energy Physics - Theory · Physics 2009-10-28 O. Steinmann

This is a more detailed version of our recent paper where we proposed, from first principles, a direct method for evaluating the exact fermion propagator in the presence of a general background field at finite temperature. This can, in…

High Energy Physics - Theory · Physics 2010-03-12 Ashok Das , J. Frenkel

Chapter one is devoted to a study of fermions and bosons in two spatial dimensions in external electromagnetic fields. The effectve action is calculated by integrating out the matter fields. In chapter two, I investigate the resummation…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. O. Andersen

I review the use of the 2PI effective action in nonequilibrium quantum field theory. The approach enables one to find approximation schemes which circumvent long-standing problems of non-thermal or secular (unbounded) late-time evolutions…

High Energy Physics - Phenomenology · Physics 2017-08-23 J. Berges