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The Four Fermi model with discrete chiral symmetry is studied in three dimensions at non-zero chemical potential and temperature using the Hybrid Monte Carlo algorithm. The number of fermion flavors is chosen large $(N_f=12)$ to compare…

High Energy Physics - Lattice · Physics 2009-10-22 Simon Hands , Aleksandar Kocic , John Kogut

We consider two-flavor chiral perturbation theory ($\chi$PT) at finite isospin chemical potential $\mu_I$ and finite temperature $T$. We calculate the effective potential and the quark and pion condensates as functions of $T$ and $\mu_I$ to…

High Energy Physics - Phenomenology · Physics 2021-02-26 Prabal Adhikari , Jens O. Andersen , Martin A. Mojahed

We construct the effective potential for a QCD-like theory using the auxiliary field method. The chiral phase transition exhibited by the model at finite temperature and the quark chemical potential is studied from the viewpoint of the…

High Energy Physics - Phenomenology · Physics 2016-09-06 Y. Hashimoto , Y. Tsue , H. Fujii

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 study the dynamics of the chiral phase transition at finite chemical potential in the Gross-Neveu model in the leading order in large-N approximation. We consider evolutions starting in local thermal equilibrium in the massless unbroken…

High Energy Physics - Phenomenology · Physics 2019-08-17 Alan Chodos , Fred Cooper , Anupam Singh , Wenjin Mao

We analyze the finite temperature chiral restoration transition of the $(D=d+1)$-dimensional Gross-Neveu model for the case of a large number of flavors and fixed total fermion number. This leads to the study of the model with a nonzero…

High Energy Physics - Theory · Physics 2009-10-31 F. S. Nogueira , M. B. Silva Neto , N. F. Svaiter

We use the scalar model with quartic interaction to illustrate how a nonperturbative variational technique combined with renormalization group (RG) properties efficiently resums perturbative expansions in thermal field theories. The…

High Energy Physics - Phenomenology · Physics 2016-01-27 J. -L. Kneur , M. B. Pinto

We show that the performance of critical quantum metrology protocols, counter-intuitively, can be enhanced by finite temperature. We consider a toy-model squeezing Hamiltonian, the Lipkin-Meshkov-Glick model and the paradigmatic Ising…

Quantum Physics · Physics 2024-02-23 Laurin Ostermann , Karol Gietka

We analyse 4-dimensional massive $\vp^4$ theory at finite temperature T in the imaginary-time formalism. We present a rigorous proof that this quantum field theory is renormalizable, to all orders of the loop expansion. Our main point is to…

High Energy Physics - Theory · Physics 2009-10-31 Christoph Kopper , Volkhard F. Müller , Thomas Reisz

We develop structure-preserving numerical methods for the compressible Euler equations, employing potential temperature as a prognostic variable. We construct three numerical fluxes designed to ensure the conservation of entropy and total…

Numerical Analysis · Mathematics 2025-09-23 Marco Artiano , Oswald Knoth , Peter Spichtinger , Hendrik Ranocha

The chiral phase transition at high temperature is investigated using the effect ive potential in the framework of the QCD-like gauge theory with a variational a pproach. We have a second order phase transition at $T_c=136$MeV. We also…

High Energy Physics - Phenomenology · Physics 2019-08-17 O. Kiriyama , M. Maruyama , F. Takagi

We study the competence between chiral symmetry restoration and two flavor color superconductivity (2SC) using a relativistic quark model with covariant nonlocal interactions. We consider two different nonlocal regulators: a Gaussian…

High Energy Physics - Phenomenology · Physics 2009-11-10 R. S. Duhau , A. G. Grunfeld , N. N. Scoccola

The idea of the functional renormalization group and one-loop improved renormalization group flows are reviewed. The associated flow equations and nonperturbative approximations schemes for its solutions are discussed. These techniques are…

High Energy Physics - Phenomenology · Physics 2008-12-18 Bernd-Jochen Schaefer , Jochen Wambach

Theoretical understanding of experimental results from relativistic heavy-ion collisions requires a microscopic approach to the behavior of QCD n-point functions at finite temperatures, as given by the hierarchy of Dyson-Schwinger…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Blaschke , D. Horvatic , D. Klabucar , A. E. Radzhabov

We study a system describing the dynamics of a two-phase flow of incompressible viscous fluids influenced by the convective heat transfer of Caginalp-type. The separation of the fluids is expressed by the order parameter which is of diffuse…

Analysis of PDEs · Mathematics 2023-08-15 Šárka Nečasová , John Sebastian H. Simon

The temperature evolution of the quark condensate is studied using three different methods. In the spirit of a many-body approach we make an expansion in the scalar density up to second order. Our result is consistent chiral perturbation…

Nuclear Theory · Physics 2009-10-30 G. Chanfray , M. Ericson , J. Wambach

We study the renormalization group flow of the scale-dependent effective potential of a quark-diquark model with full field dependence at nonzero chemical potential. This includes a discussion of approximations in relation to complex…

High Energy Physics - Phenomenology · Physics 2025-10-02 Jonas Stoll , Niklas Zorbach , Jens Braun

I review recent progress in numerical simulations of finite temperature quantum chromodynamics and discuss the status of some outstanding problems. Included is (1) a discussion of recent results determining the temperature of the ``phase…

High Energy Physics - Lattice · Physics 2008-11-26 C. DeTar

An analytical model of high frequency oscillations of the kinetic and potential energies in a one-dimensional harmonic crystal with a substrate potential is obtained by introducing the nonlocal energies [1]. A generalization of the kinetic…

Statistical Mechanics · Physics 2018-02-07 Mikhail B. Babenkov , Anton M. Krivtsov , Denis V. Tsvetkov

We calculate the two-loop pressure of a plasma of quarks and gluons at finite temperature and chemical potential using the hard thermal loop perturbation theory (HTLpt) reorganization of finite temperature/density quantum chromodynamics.…

High Energy Physics - Phenomenology · Physics 2013-05-10 Najmul Haque , Munshi G. Mustafa , Michael Strickland