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The dimensionless parameter $\xi' = M^2/(16 \pi^2 F^2)$, where $F$ is the pion decay constant in the chiral limit and $M$ is the pion mass at leading order in the quark mass, is expected to control the convergence of chiral perturbation…

High Energy Physics - Lattice · Physics 2009-02-11 D. J. Cecile , Shailesh Chandrasekharan

We study the volume dependence of the left-current correlator with non-degenerate quark masses to next-to-leading order in the chiral expansion. We consider three possible regimes: all quark masses are in the $\epsilon$-regime, all are in…

High Energy Physics - Lattice · Physics 2010-02-03 F. Bernardoni , P. Hernández

Chiral effective theory has become a powerful tool for studying the low-energy properties of QCD. In this work, we apply an extended chiral effective theory -- chiral-scale effective theory -- including a dilatonic scalar meson to study…

Nuclear Theory · Physics 2025-06-04 Lu-Qi Zhang , Yao Ma , Yong-Liang Ma

We construct the effective Lagrangian describing the low energy excitations for Quantum Chromodynamics with two flavors at high density. The non-linear realization framework is employed to properly construct the low energy effective theory.…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. Casalbuoni , Z. Duan , F. Sannino

The construction of a general effective lagrangian consistent with the symmetries of QCD and intended for applications to finite-density systems is discussed. The low-energy structure of the composite nucleon is described within the theory…

Nuclear Theory · Physics 2007-05-23 R. J. Furnstahl , Hua-Bin Tang

We show that lattice results on four flavor QCD at nonzero temperature and baryon density compare well with the hadron resonance gas model up to T approx. 0.95 Tc, and approach a free field behaviour with a reduced effective number of…

High Energy Physics - Lattice · Physics 2017-08-23 M. D'Elia , M. P. Lombardo

In QCD chiral symmetry is explicitly broken by quark masses, the effect of which can be described reliably by chiral perturbation theory. Effects of explicit chiral symmetry breaking by the lattice regularisation of the Dirac operator,…

High Energy Physics - Lattice · Physics 2011-01-27 Nigel Cundy , Tony Kennedy , Andreas Schäfer

This is the completion of an exploratory study of Compact lattice Quantum Electrodynamics with a weak four-fermi interaction and four species of massless fermions. In this formulation of Quantum Electrodynamics massless fermions can be…

High Energy Physics - Lattice · Physics 2009-11-11 John B. Kogut , Costas G. Strouthos

By bosonization of an extended NJL model we derive an effective meson theory which describes the interplay between chiral symmetry and heavy quark dynamics. This effective theory is worked out in the low-energy regime using the gradient…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. Ebert , T. Feldmann , R. Friedrich , H. Reinhardt

We derive the low energy effective theory on a brane in six-dimensional chiral supergravity. The conical 3-brane singularities are resolved by introducing cylindrical codimension one 4-branes whose interiors are capped by a regular…

High Energy Physics - Theory · Physics 2009-05-20 Frederico Arroja , Tsutomu Kobayashi , Kazuya Koyama , Tetsuya Shiromizu

The cold and dense regime of the QCD phase diagram is to this day inaccessible to first principle lattice calculations owing to the sign problem. Here we present progress of an ongoing effort to probe this particularly difficult regime…

High Energy Physics - Lattice · Physics 2015-11-04 Jonas Glesaaen , Mathias Neuman , Owe Philipsen

In this paper we consider self interacting scalar quantum field theories over a $d$ dimensional Minkowski spacetime with various interaction Lagrangians which are suitable functions of the field. The interacting field observables are…

Mathematical Physics · Physics 2025-02-21 Nicola Pinamonti

I describe recent progress towards a theory of the NN force which captures the consequences of QCD's chiral symmetry and the pattern of its breaking, and is formulated as an expansion in a ratio of low and high mass scales, M_{lo}/M_{hi}.…

Nuclear Theory · Physics 2013-02-26 Daniel R. Phillips

We propose a systematic method to block-diagonalize the finite volume effective Hamiltonian for two-particle systems with arbitrary spin in both the rest and moving frame. The framework is convenient and efficient for addressing the…

High Energy Physics - Lattice · Physics 2025-12-19 Kang Yu , Guang-Juan Wang , Jia-Jun Wu , Zhi Yang

We examine low energy limit of $U(3)_L\times U(3)_R$ chiral theory of mesons through integrating out fields of vector and axial-vector mesons. The effective lagrangian for pseudoscalar mesons at $O(p^4)$ has been obtained, and five low…

High Energy Physics - Phenomenology · Physics 2008-11-26 Xiao-Jun Wang , Mu-Lin Yan

Lattice $SU(N)\times SU(N)$ chiral models are analyzed by strong and weak coupling expansions and by numerical simulations. $12^{th}$ order strong coupling series for the free and internal energy are obtained for all $N\geq 6$. Three loop…

High Energy Physics - Lattice · Physics 2010-12-21 Paolo Rossi , Ettore Vicari

We perform an $\textit{ab initio}$ calculation of the $N_c$ scaling of the low-energy couplings of the chiral Lagrangian of low-energy strong interactions, extracted from the mass dependence of meson masses and decay constants. We compute…

High Energy Physics - Lattice · Physics 2019-10-24 Pilar Hernández , Carlos Pena , Fernando Romero-López

A simple relation between the effective parameters of chiral Lagrangians in medium as predicted by BR scaling and Landau Fermi liquid parameters is derived. This provides a link between an effective theory of QCD at mean-field level and…

Nuclear Theory · Physics 2009-10-30 Bengt Friman , Mannque Rho

We explore the phase diagram of the SU(2) Yang-Mills theory in 5 dimensions by numerical simulations. The lattice system shows a dimensionally-reduced phase where the extra dimension is small compared to the four dimensional correlation…

High Energy Physics - Lattice · Physics 2012-03-27 Luigi Del Debbio , Enrico Rinaldi

We consider a lattice-inspired random matrix model for the QCD chiral phase transition at finite chemical potential. Useful features of the usual RMM for QCD at finite chemical potential are reobtained, some being brought closer to their…

High Energy Physics - Lattice · Physics 2007-05-23 M. A. Halasz
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