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To study the convergence of the loop expansion at the high-temperature electroweak phase transition, we calculate the 2-loop effective potential of the 3d SU(2)-Higgs model in a general covariant gauge. We find that the loop expansion…

High Energy Physics - Phenomenology · Physics 2010-11-01 M. Laine

A popular observable in finite-temperature lattice QCD is the so-called singlet quark-antiquark free energy, conventionally defined in Coulomb gauge. In an effort to interpret the existing numerical data on this observable, we compute it at…

High Energy Physics - Phenomenology · Physics 2013-01-10 Y. Burnier , M. Laine , M. Vepsalainen

We construct an exact solution of the $d$-dimensional $SU(N)$ Polyakov loop model with the exact static quark determinant at finite temperature and non-zero baryon chemical potential in the 't~Hooft--Veneziano limit. In the joint large-$N$,…

High Energy Physics - Lattice · Physics 2025-12-09 Sergii Voloshyn

In the $\mathcal{N}=1$, $d=3$ superspace, we propose a massive superfield theory formulated in terms of a spinor gauge superfield, whose component content includes a two-form field, and a real scalar matter superfield. For this model, we…

High Energy Physics - Theory · Physics 2019-07-11 F. S. Gama , J. R. Nascimento , A. Yu. Petrov , P. J. Porfirio

We develop exact, simple closed form expressions for partition functions associated with relativistic bosons and fermions in odd spatial dimensions. These expressions, valid at high temperature, include the effects of a non-trivial Polyakov…

High Energy Physics - Phenomenology · Physics 2009-11-07 Peter N. Meisinger , Michael C. Ogilvie

We reconsider the two-loop electron self-energy in quantum electrodynamics. We present a modern calculation, where all relevant two-loop integrals are expressed in terms of iterated integrals of modular forms. As boundary points of the…

High Energy Physics - Phenomenology · Physics 2024-08-22 Ina Hönemann , Kirsten Tempest , Stefan Weinzierl

In this letter we compute the exact effective superpotential of {\cal N}=1 U(N) supersymmetric gauge theories with N_f fundamental flavors and an arbitrary tree-level polynomial superpotential for the adjoint Higgs field. We use the matrix…

High Energy Physics - Theory · Physics 2009-11-11 Federico Elmetti , Alberto Santambrogio , Daniela Zanon

We calculate the free energy of a hot gas of electrons and photons to three loops using the hard-thermal-loop perturbation theory reorganization of finite-temperature perturbation theory. We calculate the free energy through three loops by…

High Energy Physics - Phenomenology · Physics 2009-10-29 Jens O. Andersen , Michael Strickland , Nan Su

In a recent work we have proposed a perturbative approach for the study of the phase transition of pure Yang-Mills theories at finite temperature. This is based on a simple massive extension of background field methods in the Landau-DeWitt…

High Energy Physics - Theory · Physics 2015-06-23 U. Reinosa , J. Serreau , M. Tissier , N. Wschebor

We extend the hadronic SU(3) non-linear sigma model to include quark degrees of freedom. The choice of potential for the Polyakov loop as a function of temperature and chemical potential allows us to construct a realistic phase diagram from…

Solar and Stellar Astrophysics · Physics 2010-04-29 V. A. Dexheimer , S. Schramm

The weak-coupling expansion for thermodynamic quantities in thermal field theories is poorly convergent unless the coupling constant is tiny. We discuss the calculation of the free energy for a hot gas of electrons and photons to three-loop…

High Energy Physics - Phenomenology · Physics 2010-09-27 Nan Su , Jens O. Andersen , Michael Strickland

We describe the "relative weights" method used to compute the effective Polyakov line action corresponding to a given lattice gauge theory, and present some results that have been obtained so far. The main motivation is the sign problem,…

High Energy Physics - Lattice · Physics 2013-12-03 Jeff Greensite , Kurt Langfeld

We study the thermodynamics of massless phi-fourth theory using screened perturbation theory. In this method, the perturbative expansion is reorganized by adding and subtracting a thermal mass term in the Lagrangian. We calculate the free…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jens O. Andersen , Lars Kyllingstad

We calculate analytically a class of three-loop vacuum diagrams with two different mass values, one of which is one-third as large as the other, using the method of Chetyrkin, Misiak, and M\"{u}nz in the dimensional regularization scheme.…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. -M. Chung , B. K. Chung

I compute Polyakov loop, the deconfinement order parameter, for SU(2) lattice gauge theory using the fixed scale approach for several different scales and show how to obtain a renormalized physical order parameter. The generalization to…

High Energy Physics - Lattice · Physics 2011-04-04 Rajiv V. Gavai

Using the known resummation of virtual corrections together with knowledge of the leading-log structure of real radiation in a parton shower, we derive analytic expressions for the resummed real radiation after they have been integrated…

High Energy Physics - Phenomenology · Physics 2017-02-28 Christian W Bauer , Nicolas Ferland

The non-commutative version of the euclidean $g^2\phi^4$ theory is considered. By using Wilsonian flow equations the ultraviolet renormalizability can be proved to all orders in perturbation theory. On the other hand, the infrared sector…

High Energy Physics - Theory · Physics 2009-11-07 Luca Griguolo , Massimo Pietroni

The effective potential of the order parameter for confinement is calculated for SU(N) Yang--Mills theory in the Hamiltonian approach. Compactifying one spatial dimension and using a background gauge fixing, this potential is obtained…

High Energy Physics - Theory · Physics 2013-10-08 Hugo Reinhardt , Jan Heffner

We consider a lattice gauge theory at finite temperature in ($d$+1) dimensions with the Wilson action and different couplings $\beta_t$ and $\beta_s$ for timelike and spacelike plaquettes. By using the character expansion and…

High Energy Physics - Lattice · Physics 2009-10-28 M. Billo' , M. Caselle , A. D'Adda , S. Panzeri

We calculate the 1-loop effective potential in a supersymmetric model in 5D with $S^1/(Z_2\times Z_2)$ orbifold compactification. The procedure of calculation consists of evaluating first the integrals over four-momenta using the…

High Energy Physics - Theory · Physics 2010-11-19 Vicente Di Clemente , Yuri A. Kubyshin