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Related papers: Effective pion mass term and the trace anomaly

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We apply the formalism of Chiral Perturbation Theory out of thermal equilibrium to describe explosive production of pions via the parametric resonance mechanism. To lowest order the lagrangian is that of the Nonlinear Sigma Model where the…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. Gomez Nicola

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 ratio of the sigma mass to the pion mass at finite temperatures and densities provides for a quantitative signal of chiral symmetry breaking. We calculate this ratio by using an extension to finite chemical potential of the field…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Barducci , R. Casalbuoni , R. Gatto , G. Pettini

Based on an effective chiral theory of pseudoscalar, vector, and axial-vector mesons, the coefficients of the chiral perturbation theory are predicted. There is no new parameter in these predictions.

High Energy Physics - Phenomenology · Physics 2007-05-23 Bing An Li

We evaluate the pion mass in finite volume to two loops within Chiral Perturbation Theory. The results are compared with a recently proposed extension of the asymptotic formula of Luscher. We find that contributions, which were neglected in…

High Energy Physics - Lattice · Physics 2009-11-11 Gilberto Colangelo , Christoph Haefeli

We calculate the electromagnetic contribution to the pion mass difference, $\Delta m^2_\pi=m^2_{\pi^+}-m^2_{\pi^0}$, in the chiral limit through the $VV-AA$ type vacuum polarization using Das-Guralnik-Mathur-Low-Young (DGMLY) sum rule. The…

High Energy Physics - Lattice · Physics 2008-11-26 JLQCD Collaboration , E. Shintani , H. Fukaya , S. Hashimoto , H. Matsufuru , J. Noaki , T. Onogi , N. Yamada

We derive the mass correction lagrangian of the heavy meson effective theory by using the projection operator method. The next leading order of the mass correction and the first order of the chiral expansion are given explicitely.We also…

High Energy Physics - Phenomenology · Physics 2016-09-01 Tsung-Wen Yeh , Chien-er Lee

The Lattice results for the pion and kaon decay constants are analysed within the Resonance Chiral Theory framework in the large NC limit. The approximately linear behaviour of the observable at large light-quark mass is explained through…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. J. Sanz-Cillero

We present preliminary results on a study about the thermal variation of the charged and neutral pion masses to one loop, analyzing their electromagnetic difference, in the context of Chiral Perturbation Theory with two flavours, as well as…

High Energy Physics - Phenomenology · Physics 2013-04-17 R. Torres Andres , A. Gomez Nicola

This proceedings paper extends the scope of our conference talk, where we presented a comprehensive analysis of newly expanded and refined lattice data concerning the SU(3) gauge theory with Nf = 8 light Dirac fermions - a theory positioned…

High Energy Physics - Lattice · Physics 2024-01-17 James Ingoldby

Effective field theory of massive Yang-Mills fields interacting with fermions is considered. Perturbative renormalizability in the sense of effective field theory is shown. It is argued that the limit of vanishing vector boson mass leads to…

High Energy Physics - Theory · Physics 2012-08-02 Jambul Gegelia , George Japaridze

We review recent work on the effective field theory description and the phenomenology of axion-like and scalar particles in models characterized by gauge and/or conformal anomalies.

High Energy Physics - Phenomenology · Physics 2015-05-18 Roberta Armillis , Claudio Coriano , Luigi Delle Rose , Marco Guzzi , Antonio Mariano

The problem of defining a gauge invariant effective potential with a strict energetic interpretation is examined in the context of spontaneously broken gauge theories. It is shown that such a potential can be defined in terms of a composite…

High Energy Physics - Phenomenology · Physics 2016-08-25 A. Duncan , Will Loinaz , R. S. Willey

We analyze the existence of a dilaton in gauge theories with approximate infrared conformal symmetry. To the extent that these theories are governed in the infrared by an approximate fixed point (walking), the explicit breaking of the…

High Energy Physics - Phenomenology · Physics 2010-12-27 Thomas Appelquist , Yang Bai

The anomaly implies an obstruction to a fully chiral covariant calculation of the effective action in the abnormal parity sector of chiral theories. The standard approach then is to reconstruct the anomalous effective action from its…

High Energy Physics - Theory · Physics 2009-03-24 L. L. Salcedo

The dense compact star matter is studied by using the skyrmion crystal approach. The chiral effective theory used includes the lightest scalar meson, the lowest-lying vector mesons as well as pions. Consistency with the vector manifestation…

Nuclear Theory · Physics 2022-08-31 Long-Qi Shao , Yong-Liang Ma

The chiral perturbation theory (ChPT) of pions is extended to include vector mesons as well as pertinent degrees of freedom. By counting the typical momentum scale of vector mesons as order of $Q$ and vector meson masses as of the order of…

High Energy Physics - Phenomenology · Physics 2024-01-23 Tae-Sun Park

We enforce chiral Ward identities on the vertices of the linear sigma model to take into account the width of the scalar sigma, considered as a true physical resonance. We consider pion scattering at very low energies and, from a fit to the…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. L. Lucio , M. Napsuciale , M. Ruiz-Altaba

We use chiral perturbation theory for SU(2) to compute the leading corrections to the thermal mass of the pions and the pion decay constant in the presence of the magnetic field in a low-temperature expansion. The magnetic field gives rise…

High Energy Physics - Phenomenology · Physics 2012-08-02 Jens O. Andersen

The strength of the interaction of three pions and a photon, $F_{3\pi}$ is predicted by the axial anomaly in terms of the pion decay constant, a relation that is frequently used to constrain low-energy radiative processes involving pions,…

High Energy Physics - Phenomenology · Physics 2025-07-09 Martin Hoferichter , Bai-Long Hoid , Bastian Kubis
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