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We study relativistic Bose-Einstein condensation at finite density and temperature using the linear sigma model in the one-particle-irreducible 1/N-expansion. We derive the effective potential to next-to-leading (NLO) order and show that it…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jens O. Andersen , Tomas Brauner

By using the symmetry improved CJT effective formalism developed by Pilaftsis and Teresi, the chiral phase transition is reconsidered in the framework of the $O(4)$ linear sigma model in chiral limit. Our results confirm the restorations of…

High Energy Physics - Phenomenology · Physics 2014-03-11 Hong Mao

We investigate the finite temperature behavior of the meson sector of an effective Lagrangian which describes nuclear matter. A method is developed for evaluating the logarithmic terms in the effective potential which involves expansion and…

Nuclear Theory · Physics 2009-10-30 G. W. Carter , P. J. Ellis , S. Rudaz

The large N effective action of the non-linear sigma model based in the coset O(N+1)/O(N) is obtained. The renormalization of this effective action requires the introduction of an infinite set of counterterms. However, there exit particular…

High Energy Physics - Phenomenology · Physics 2009-09-25 Antonio Dobado , Antonio Lopez , John Morales

We calculate the finite-temperature corrections in the dilated chiral quark model using the effective potential formalism. Assuming that the dilaton limit is applicable at some short length scale, we interpret the results to represent the…

High Energy Physics - Phenomenology · Physics 2016-09-01 Youngman Kim , Hyun Kyu Lee , Mannque Rho

We report on our recent work about the description of a meson gas below the chiral phase transition within the framework of Chiral Perturbation Theory. As an alternative to the standard treatment, we present a calculation of the quark…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Gomez Nicola , J. R. Pelaez , A. Dobado , F. J. LLanes-Estrada

For an exact chiral symmetry which is spontaneously broken at zero temperature, we show that at nonzero temperature, generally pions travel at {\it less} than the speed of light. This effect first appears at next to leading order in an…

High Energy Physics - Phenomenology · Physics 2010-01-06 Robert D. Pisarski , Michel Tytgat

We investigate the dynamics of the chiral transition in an expanding quark-anti-quark plasma. The calculations are made within a linear sigma model with explicit quark and antiquark degrees of freedom. We solve numerically the classical…

High Energy Physics - Phenomenology · Physics 2011-04-15 I. N. Mishustin , J. A. Pedersen , O. Scavenius

In the present work, higher-order mesonic interactions are included in the linear sigma model at a finite temperature. The effective potential is minimized in the calculations of the sigma and pion effective masses. The field equations have…

High Energy Physics - Phenomenology · Physics 2013-11-11 M. Abu-Shady , H. Mansour

We have investigated the phase transition and disoriented chiral condensate domain formation in linear sigma model. Solving the equation of motion for the sigma model fields in contact with a heat bath, we have shown that the fields undergo…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. K. Chaudhuri

We perform a complete calculation of the pion-kaon scattering amplitude in Chiral Perturbation Theory at finite temperature, paying particular attention to the analytic structure of the amplitude and the main differences with respect to the…

High Energy Physics - Phenomenology · Physics 2023-08-30 Angel Gómez Nicola , Jacobo Ruiz de Elvira , Andrea Vioque-Rodríguez

We point out that, in analogy with spin waves in antiferromagnets, all parameters describing the real-time propagation of soft pions at temperatures below the QCD chiral phase transition can be expressed in terms of static correlators. This…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. T. Son , M. A. Stephanov

As increased statistics and new ensembles with light pions have become available within the CLS effort, we complete previous work by inspecting the chiral behaviour of the pion decay constant. We discuss the validity of Chiral Perturbation…

High Energy Physics - Lattice · Physics 2013-11-26 Stefano Lottini

First, the chiral phase transition at nonzero temperature and baryon chemical potential is studied at mean field level in the sigma model that includes quark degrees of freedom explicitly. For small bare quark masses the critical point…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Mocsy

We consider the form of the chiral symmetry breaking piece of the effective potential in the linear sigma model. Surprisingly, it allows for a second local minimum at both zero and finite temperature. Even though chiral symmetry is not…

High Energy Physics - Phenomenology · Physics 2009-10-28 Joseph I. Kapusta , Ajit M. Srivastava

Evolution of structure functions is studied in a chiral potential model which incorporates the pion as the chiral symmetry restoring field. Evolution equations for the quark and pion densities are derived in the lowest order at large $Q^2$.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Kakali Roy-Maity , Padmanabha Dasgupta

The phase diagram of the three-flavor QCD is mapped out in the low mass corner of the m_pi-m_K--plane with help of the SU_L(3) x SU_R(3) linear sigma model (LSM). A novel zero temperature parametrization is proposed for the mass dependence…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Herpay , A. Patkos , Zs. Szep , P. Szepfalusy

We investigate the quantum statistical properties of the confining string connecting a static fermion-antifermion pair in the massive Schwinger model. By analyzing the reduced density matrix of the subsystem located in between the fermion…

High Energy Physics - Phenomenology · Physics 2026-02-16 Sebastian Grieninger , Dmitri E. Kharzeev , Eliana Marroquin

Isospin density and thermal corrections for several condensates are discussed, at the one-loop level, in the frame of chiral dynamics with pionic degrees of freedom. The evolution of such objects give an additional insight into the…

High Energy Physics - Phenomenology · Physics 2009-11-11 M. Loewe , C. Villavicencio

The chiral phase transition at a certain critical temperature is a restoration mechanism of the chiral symmetry, broken by the nonzero mass of quarks and mesons. The transition can be studied through several models, among which are the…

High Energy Physics - Phenomenology · Physics 2008-02-20 F. A. Correa , J. Morales