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We introduce a finite dimensional anharmonic soft spin glass in a field and show how it allows the construction a field theory at zero temperature and the corresponding loop expansion. The mean field level of the model coincides with a…

Disordered Systems and Neural Networks · Physics 2022-08-31 Pierfrancesco Urbani

The influence of a uniform rotation with frequency Omega on the critical behavior of liquid 4He near T_lambda is investigated. We apply our recently developed approach which is a renormalization-group theory based on model F starting with…

Condensed Matter · Physics 2009-10-31 Rudolf Haussmann

We present a new method for the evaluation of the perturbative expansion of the QCD pressure which is valid at all values of the temperature and quark chemical potentials in the deconfined phase and which we work out up to and including…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. Ipp , K. Kajantie , A. Rebhan , A. Vuorinen

We use the renormalization group method to study the normal state of quasi-one-dimensional superconductors nearby a spin-density-wave instability. On the basis of one-loop scattering amplitudes for the quasi-one-dimensional electron gas,…

Strongly Correlated Electrons · Physics 2012-08-27 A. Sedeki , D. Bergeron , and C. Bourbonnais

We derive nonperturbative flow equations within an effective constituent quark model for two quark flavors. Heat-kernel methods are employed for a renormalization group improved effective potential. We study the evolution of the effective…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. -J. Schaefer , H. J. Pirner

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

We present an analytic five-loop calculation for the additive renormalization constant A(u,epsilon) and the associated renormalization-group function B(u) of the specific heat of the O(n) symmetric phi^4 theory within the minimal…

Statistical Mechanics · Physics 2009-10-30 S. A. Larin , M. Moennigmann , M. Stroesser , V. Dohm

We consider a family of potentials f, derived from the Hofbauer potentials, on the symbolic space Omega=\{0,1\}^\mathbb{N} and the shift mapping $\sigma$ acting on it. A Ruelle operator framework is employed to show there is a phase…

Dynamical Systems · Mathematics 2016-03-15 Leandro M. Cioletti , Artur O. Lopes

A simple example of a non-equilibrium system for which fluctuations are important is a system of particles which diffuse and may annihilate in pairs on contact. The renormalization group can be used to calculate the time dependence of the…

Statistical Mechanics · Physics 2007-05-23 Daniel C. Vernon

We present three-loop formulas for the additive renormalization constant A(u,epsilon) and associated renormalization group function B(u) for the specific heat of the O(n) symmetric phi^4 model. Using this result, we obtain also the…

Statistical Mechanics · Physics 2007-05-23 Stuart S. C. Burnett

We apply Renormalization Group techniques to the Real Time formulation of thermal field theory. Due to the separation between the $T=0$ and the $T\neq 0$ parts of the propagator in this formalism, one can derive exact evolution equations…

High Energy Physics - Phenomenology · Physics 2009-10-28 Marco D'Attanasio , Massimo Pietroni

We study the effect of thermal fluctuations on the wetting phase transitions of infinite order and of continuously varying order, recently discovered within a mean-field density-functional model for three-phase equilibria in systems with…

Statistical Mechanics · Physics 2013-08-21 J. O. Indekeu , K. Koga , H. Hooyberghs , A. O. Parry

If SU(N) gauge fields live in a world with a circular extra dimension, coupling there only to adjointly charged matter, the system possesses a global Z(N) symmetry. If the radius is small enough such that dimensional reduction takes place,…

High Energy Physics - Phenomenology · Physics 2009-11-07 K. Farakos , P. de Forcrand , C. P. Korthals Altes , M. Laine , M. Vettorazzo

Various formulations of the exact renormalization group can be compared in the perturbative domain, in which we have reliable expressions for regularization-independent (universal) quantities. We consider the renormalization of the…

High Energy Physics - Theory · Physics 2023-09-08 Jose Gaite

The flow equations of the Functional Renormalization Group are applied to the O(N)-symmetric scalar theory, for N=1 and N=4, in four Euclidean dimensions, d=4, to determine the effective potential and the renormalization function of the…

High Energy Physics - Theory · Physics 2015-06-05 Dario Zappalà

The renormalization method is specifically aimed at connecting theories describing physical processes at different length scales and thereby connecting different theories in the physical sciences. The renormalization method used today is…

Statistical Mechanics · Physics 2011-02-21 Leo P. Kadanoff

We calculate the thermodynamic functions of a hot gluon plasma to leading order in hard-thermal-loop (HTL) perturbation theory. Effects associated with screening, gluon quasiparticles, and Landau damping are resummed to all orders. The…

High Energy Physics - Phenomenology · Physics 2016-09-06 Jens O. Andersen , Eric Braaten , Michael Strickland

Massive field theory at fixed dimension d<4 is combined with the minimal subtraction scheme to calculate the amplitude functions of thermodynamic quantities for the O(n) symmetric phi^4 model below T_c in two-loop order. Goldstone…

Statistical Mechanics · Physics 2009-10-30 Stuart S. C. Burnett , Martin Stroesser , Volker Dohm

The finite-temperature density-matrix renormalization-group method is applied to the one-dimensional Kondo lattice model near half filling to study its thermodynamics. The spin and charge susceptibilities and entropy are calculated down to…

Strongly Correlated Electrons · Physics 2009-10-31 N. Shibata , H. Tsunetsugu

Techniques based on $n$-particle irreducible effective actions can be used to study systems where perturbation theory does not apply. The main advantage, relative to other non-perturbative continuum methods, is that the hierarchy of…

High Energy Physics - Theory · Physics 2019-04-10 M. E. Carrington , S. A. Friesen , C. D. Phillips , D. Pickering