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The concept of dimensional reduction in the high temperature regime is generalized to static Green's functions of composite operators that contain fermionic fields. The recognition of a natural kinematic region where the lowest Matsubara…

High Energy Physics - Phenomenology · Physics 2010-11-01 Suzhou Huang , Marcello Lissia

We investigate the three-dimensional SU(3) gauge theory at finite temperature in the framework of dimensional reduction. The large scale properties of this theory are expected to be conceptually more complicated than in four dimensions. The…

High Energy Physics - Lattice · Physics 2009-10-31 P. Bialas , A. Morel , B. Petersson , K. Petrov , T. Reisz

We study the thermodynamics of two-color QCD at high temperature and/or density using a dimensionally reduced superrenormalizable effective theory, formulated in terms of a coarse grained Wilson line. In the absence of quarks, the theory is…

High Energy Physics - Phenomenology · Physics 2012-03-01 Tian Zhang , Tomáš Brauner , Aleksi Kurkela , Aleksi Vuorinen

We construct an effective Lagrangian for low energy hadronic interactions through an infinite expansion in inverse powers of the low energy cutoff $\Lambda_\chi$ of all possible chiral invariant non-renormalizable interactions between…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. Pallante , R. Petronzio

By applying the closed-time-path Green function formalism to the chiral dynamical model based on an effective Lagrangian of chiral quarks with the nonlinear-realized meson fields as bosonized auxiliary fields, we then arrive at a chiral…

High Energy Physics - Phenomenology · Physics 2012-03-02 Da Huang , Yue-Liang Wu

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

The dynamics of phase transitions (PT) in quantum field theories at finite temperature is most accurately described within the framework of dimensional reduction. In this framework, thermodynamic quantities are computed within the…

High Energy Physics - Phenomenology · Physics 2024-10-11 Mikael Chala , Juan Carlos Criado , Luis Gil , Javier López Miras

We consider the low energy effective action of QCD below the chiral symmetry breaking scale, including, in Wilson's spirit, all operators of dimensionality less or equal to 6 which can be built with quark and chiral fields. The effect of…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. A. Andrianov , D. Espriu , R. Tarrach

QED is studied at low temperature ($T\ll m$, where $m$ is the electron mass) and zero chemical potential. By integrating out the electron field and the nonzero bosonic Matsubara modes, we construct an effective three-dimensional field…

High Energy Physics - Phenomenology · Physics 2009-11-07 Jens O. Andersen

A three-dimensional effective theory for high temperature SU(3) gauge theory, which maintains the Z(3) center symmetry of the full theory, is constructed. Such a Z(3) invariant effective theory should be applicable to a wider temperature…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. Vuorinen , Laurence G. Yaffe

The systematic effective Lagrangian method was first formulated in the context of the strong interaction: chiral perturbation theory (CHPT) is the effective theory of Quantum Chromodynamics (QCD). It was then pointed out that the method can…

High Energy Physics - Phenomenology · Physics 2014-04-30 Christoph P. Hofmann

The free energy for QCD at high temperature $T$ is calculated to order $g^5$ using effective-field-theory methods to separate the contributions from the momentum scales $T$ and $gT$. The effects of the scale $T$ enter through the…

High Energy Physics - Phenomenology · Physics 2016-08-24 Eric Braaten , Agustin Nieto

We discuss a recently introduced strategy to study non-perturbatively thermal QCD up to temperatures of the order of the electro-weak scale, combining step scaling techniques and shifted boundary conditions. The former allow to renormalize…

High Energy Physics - Lattice · Physics 2024-11-22 Leonardo Giusti , Davide Laudicina , Matteo Bresciani , Mattia Dalla Brida , Tim Harris , Michele Pepe , Pietro Rescigno

We calculate the effective Lagrangian for a magnetic field in spinor, scalar and vector QED. Connections are then made to $SU(N_C)$ Yang--Mills theory and QCD. The magnetization and the corresponding effective charge are obtained from the…

High Energy Physics - Phenomenology · Physics 2009-10-28 David Persson

The goal of this paper is to arrive at a low energy effective theory of QCD with two massless flavors of quarks at very high isospin density and zero baryon density. In a seminal paper by Son and Stephanov in the year 2001, it was…

High Energy Physics - Phenomenology · Physics 2015-10-01 Thomas D. Cohen , Srimoyee Sen

We present a recently introduced strategy to study non-perturbatively thermal QCD up to temperatures of the order of the electro-weak scale, combining step scaling techniques and shifted boundary conditions. The former allow to renormalize…

High Energy Physics - Lattice · Physics 2024-10-17 Leonardo Giusti , Matteo Bresciani , Mattia Dalla Brida , Tim Harris , Davide Laudicina , Michele Pepe , Pietro Rescigno

A general effective action for quark matter at nonzero temperature and/or nonzero density is derived. Irrelevant quark modes are distinguished from relevant quark modes, and hard from soft gluon modes, by introducing two separate cut-offs…

Nuclear Theory · Physics 2017-08-23 P. T. Reuter , Q. Wang , D. H. Rischke

We study the equation of state of a strongly interacting theory of relativistic bosons and chiral fermions in the vicinity and above the chiral phase transition temperature. Our model resembles presently used low-energy models of QCD in…

High Energy Physics - Phenomenology · Physics 2010-04-06 Jens Braun

We derive the chiral effective Lagrangian for heavy-light mesons in the heavy quark limit from QCD under proper approximations. The low energy constants in the effective Lagrangian are expressed in terms of the light quark self-energy. With…

High Energy Physics - Phenomenology · Physics 2020-09-02 Qing-Sen Chen , Hui-Feng Fu , Yong-Liang Ma , Qing Wang

In this talk I will first give a short discussion of some lattice results for QCD at finite temperature. I will then describe in some detail the technique of dimensional reduction, which in principle is a powerful technique to obtain…

High Energy Physics - Lattice · Physics 2017-08-23 Bengt Petersson
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