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We investigate the vacuum realignment for chiral symmetry breaking and color superconductivity at finite density in Nambu-Jona-Lasinio model in a variational method. The treatment allows us to investigate simultaneous formation of…

High Energy Physics - Phenomenology · Physics 2009-11-10 Amruta Mishra , Hiranmaya Mishra

We present a unified description of the spontaneous symmetry breaking and its associated bosons in fermion field theory. There is no Goldstone boson in the fermion field theory models of Nambu-Jona-Lasinio, Thirring and QCD$_2$ after the…

High Energy Physics - Theory · Physics 2007-11-02 Takehisa Fujita , Makoto Hiramoto , Hidenori Takahashi

It is shown that the endpoint of the first order transition line which merges into a crossover regime in the phase diagram of the Nambu--Jona-Lasinio model, extended to include the six-quark 't Hooft and eight-quark interaction Lagrangians,…

High Energy Physics - Phenomenology · Physics 2015-05-18 J. Moreira , B. Hiller , A. A. Osipov , A. H. Blin

We study chiral symmetry breaking for fundamental charged fermions coupled electromagnetically to photons with the inclusion of four-fermion contact self-interaction term. We employ multiplicatively renormalizable models for the photon…

High Energy Physics - Phenomenology · Physics 2013-05-30 F. Akram , A. Bashir , L. X. Gutierrez-Guerrero , B. Masud , J. Rodriguez-Quintero , C. Calcaneo-Roldan , M. E. Tejeda-Yeomans

We investigate the effects of isospin asymmetry on the competition between color-superconductivity and inhomogeneous chiral symmetry breaking in dense two-flavor quark matter using an extended Nambu--Jona-Lasinio model. We confirm the…

High Energy Physics - Phenomenology · Physics 2016-02-16 Daniel Nowakowski , Stefano Carignano

On a null-plane (light-front), all effects of spontaneous chiral symmetry breaking are contained in the three Hamiltonians (dynamical Poincar\'e generators), while the vacuum state is a chiral invariant. This property is used to give a…

Nuclear Theory · Physics 2015-06-12 Silas R. Beane

We discuss Abelian and non-Abelian three dimensional bosonization within the path-integral framework. We present a systematic approach leading to the construction of the bosonic action which, together with the bosonization recipe for…

High Energy Physics - Theory · Physics 2009-10-30 J. C. Le Guillou , E. Moreno , C. Nuñez , F. A. Schaposnik

We compute the hadronic matrix elements of the four-quark operators relevant for $K^0-{\bar K^0}$ mixing beyond the Standard Model. Our results are from lattice QCD simulations with $n_f=2+1$ flavours of domain-wall fermion, which exhibit…

High Energy Physics - Lattice · Physics 2016-11-08 Nicolas Garron , Renwick J. Hudspith , Andrew T. Lytle

It is shown that eight-quark interactions, which are needed to stabilize the ground state of the combined three flavor Nambu -- Jona-Lasinio and 't Hooft Lagrangians, play also an important role in determining the critical temperature at…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. A. Osipov , B. Hiller , J. Moreira , A. H. Blin , J. da Providencia

The paired state of composite fermions is expected to support two kinds of excitations: vortices and unpaired composite fermions. We construct an explicit microscopic description of the unpaired composite fermions, which we demonstrate to…

Strongly Correlated Electrons · Physics 2011-09-21 G. J. Sreejith , Arkadiusz Wojs , Jainendra K. Jain

We explore chiral symmetry breaking in a magnetic field within a Nambu-Jona-Lasinio model of interacting massless quarks including tensor channels. We show that the new interaction channels open up via Fierz identities due to the explicit…

Nuclear Theory · Physics 2015-06-17 Efrain J. Ferrer , Vivian de la Incera , Israel Portillo , Matthew Quiroz

We investigate the stability of an inhomogeneous chiral condensed phase against low energy fluctuations about a spatially modulated order parameter. This phase corresponds to the so-called dual chiral density wave in the context of quark…

High Energy Physics - Phenomenology · Physics 2015-08-31 Tong-Gyu Lee , Eiji Nakano , Yasuhiko Tsue , Toshitaka Tatsumi , Bengt Friman

The electric/color neutral solution and the critical conditions for gapless formation are investigated in the $K^0$ condensed color-flavor locked matter. We point out that there exist no longer gapless modes for down-strange quark pairing…

High Energy Physics - Phenomenology · Physics 2015-07-22 Xiao-Bing Zhang , J. I. Kapusta

It is shown that the endpoint of the first order transition line which merges into a crossover regime in the phase diagram of the Nambu--Jona-Lasinio model, extended to include the six-quark 't Hooft and eight-quark interaction Lagrangians,…

High Energy Physics - Phenomenology · Physics 2010-07-02 B. Hiller , J. Moreira , A. A. Osipov , A. H. Blin

We study the bosonic and fermionic zero modes in noncommutative instanton backgrounds based on the ADHM construction. In k instanton background in U(N) gauge theory, we show how to explicitly construct 4Nk (2Nk) bosonic (fermionic) zero…

High Energy Physics - Theory · Physics 2009-11-07 Keun-Young Kim , Bum-Hoon Lee , Hyun Seok Yang

The symmetry breaking pattern of QCD features two seemingly disconnected phenomena: the spontaneous breakdown of the Z(3) center symmetry in the deconfinement transition of pure-gauge QCD, and the spontaneous breaking of chiral…

High Energy Physics - Phenomenology · Physics 2014-11-20 Wolfram Weise

We establish that in Quantum Chromodynamics (QCD) at zero temperature, SU_(L+R)(N_F) exhibits the vector mode conjectured by Georgi and SU_(L-R)(N_F)is realized in either the Nambu-Goldstone mode or else the axial-vector charge is also…

High Energy Physics - Theory · Physics 2007-05-23 R. Acharya , P. Narayana Swamy

Explicit chiral symmetry breaking is a natural feature of many QCD inspired models with multi-quark interactions. To carry out the 1/N expansion of these theories, one integrates over the quark fields. In the process of calculating the…

High Energy Physics - Theory · Physics 2007-08-23 Alexander A. Osipov , Brigitte Hiller , Alex H. Blin

We study, for the first time, the interplay between colour-confining and chiral symmetry-breaking dynamics in gauge-fermion systems with a general number of flavours and colours. Specifically, we work out the flavour dependence of the…

High Energy Physics - Theory · Physics 2024-12-18 Florian Goertz , Álvaro Pastor-Gutiérrez , Jan M. Pawlowski

$A$B$_{2}$ ($A=$K, Rb, Cs) compounds crystallize in the cubic Laves phase (symmetry Fd$\bar{3}$m). The geometry of the crystal structure allows the realization of chiral phonons, which are associated with the circulation of atoms around…

Materials Science · Physics 2023-10-12 Surajit Basak , Przemysław Piekarz , Andrzej Ptok