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In this paper we study dynamical chiral symmetry breaking of a generic quantum field theoretical model with global chiral flavor symmetry. By purely algebraic means we analyze the vacuum structure for different symmetry breaking schemes and…

High Energy Physics - Theory · Physics 2019-10-03 Massimo Blasone , Petr Jizba , Nikolaos E. Mavromatos , Luca Smaldone

We study the convergence of the Ginzburg-Landau (GL) expansion in the context of the Bardeen-Cooper-Schrieffer (BCS) theory for superconductivity and the Nambu-Jona-Lasinio (NJL) model for chiral symmetry breaking at finite temperature $T$…

High Energy Physics - Theory · Physics 2024-04-11 William Gyory , Naoki Yamamoto

With the explicit breaking of scale invariance by the trace anomaly of QCD rephrased in terms of spontaneous breaking, low-energy strong interaction dynamics of dense (and also hot) matter can be effectively captured by -- in addition to…

High Energy Physics - Phenomenology · Physics 2010-01-05 Hyun Kyu Lee , Mannque Rho

The weak leptonic decays $\pi^\pm\to\mu^\pm\nu_{\mu}(\bar{\nu}_{\mu}), \pi^\pm\to e^\pm\nu_e(\bar{\nu}_{e}), K^\pm\to\mu^\pm\nu_{\mu}(\bar{\nu}_{\mu})$ and $K^\pm\to e^\pm \nu_e(\bar{\nu}_{e})$ are investigated within the framework of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Pedro Costa , M. C. Ruivo , Yu. L. Kalinovsky

Generalized Hidden Local Symmetry (GHLS) model as the chiral model of pseudoscalar, vector, and axial vector mesons and their interactions containing also the couplings of strongly interacting particles with electroweak gauge bosons, is…

High Energy Physics - Phenomenology · Physics 2010-09-23 N. N. Achasov , A. A. Kozhevnikov

We study QED corrections to the chiral symmetry breaking in Nambu-Jona-Lasinio (NJL) model with two flavors of quarks. In the model the isospin symmetry is broken by differences of the current quark masses and the electromagnetic charges…

High Energy Physics - Phenomenology · Physics 2017-08-23 Takahiro Fujihara , Tomohiro Inagaki , Daiji Kimura

We explore the inhomogeneous QCD phases at finite density and temperature using a (3+1)-dimensional Nambu-Jona-Lasinio (NJL) model in the large Nc limit with an additional attractive tensor-tensor interaction channel. For single modulated…

Nuclear Theory · Physics 2013-04-04 Bo Feng , Efrain J. Ferrer , Vivian de la Incera

We study the q \bar q structure embedded in chiral mesons in response to external magnetic fields, using the chiral Lagrangian with q \bar q degrees of freedom derived earlier. We show that GMOR relations hold true for neutral chiral…

High Energy Physics - Phenomenology · Physics 2014-01-21 V. D. Orlovsky , Yu. A. Simonov

We consider here chiral symmetry breaking in quantum chromodynamics arising from gluon condensates in vacuum. Through coherent states of gluons simulating a mean field type of approximation, we show that the off-shell gluon condensates of…

High Energy Physics - Phenomenology · Physics 2009-10-22 A. Mishra , S. P. Misra

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

Soft-pion theorems are used to show how chiral symmetry constrains the contributions of low-momentum pions to the quark condensate, the pion decay constant and hadron masses, all of which have been proposed as signals of partial restoration…

Nuclear Theory · Physics 2007-05-23 Michael C. Birse

In this short review we tried to give an outline of investigations of charged pion condensation (PC) in dense baryonic (quark) matter in the framework of effective Nambu--Jona-Lasinio (NJL) type models. The possibility of charged PC phase…

High Energy Physics - Phenomenology · Physics 2019-12-19 T. G. Khunjua , K. G. Klimenko , R. N. Zhokhov

We investigate the chiral symmetry restoration/breaking of a dense, magnetized and rotating quark matter within the Nambu Jona-Lasinio model including $N_f=2$ and $N_c=3$ numbers of flavors and colors, respectively. Imposing the spectral…

High Energy Physics - Phenomenology · Physics 2023-06-14 S. M. A. Tabatabaee Mehr , F. Taghinavaz

Quantum chromodynamics with light quarks features an approximate global symmetry, known as chiral symmetry, that is believed to be spontaneously broken by the vacuum expectation value of a scalar and isoscalar composite field, in addition…

High Energy Physics - Phenomenology · Physics 2025-12-22 Tobias Bruschke , Andreas Kirchner , Stefan Floerchinger

Generalized vector form factors of the pion, related to the moments of the generalized parton distribution functions, are evaluated in the Nambu--Jona-Lasinio model with the Pauli-Villars regularization. The lowest moments (the…

High Energy Physics - Phenomenology · Physics 2015-05-13 Wojciech Broniowski

We discuss the quark condensate of the vacuum inside the baryon. We analyze the 1+1 dimensional chiral bag in analogy with the realistic 3+1 dimensional one. The Nambu--Jona-Lasinio (NJL) type interaction is used to investigate the quark…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Yasui , A. Hosaka , M. Oka

The description of nuclear matter bulk properties in the framework of quark-based hadron models in curved unit cells is extended to finite temperature. We discuss the analogy and interplay of density and temperature effects in this…

Nuclear Theory · Physics 2016-09-08 Hilmar Forkel , A. D. Jackson

We study a lattice Nambu-Jona-Lasinio model with interacting staggered fermions in the Kogut-Susskind Hamiltonian formalism. The model has a discrete chiral symmetry but not the usual continuous chiral symmetry. In a strong coupling regime…

Mathematical Physics · Physics 2024-01-10 Yukimi Goto , Tohru Koma

The partial restoration of chiral symmetry in nuclear medium is investigated in a model independent way by exploiting operator relations in QCD. An exact sum rule is derived for the quark condensate valid for all density. This sum rule is…

Nuclear Theory · Physics 2008-12-18 D. Jido , T. Hatsuda , T. Kunihiro

We compare two QCD-inspired quark models with four-fermion interaction, without and with the remnant coupling to low-energy gluons, in the regime of dynamical chiral symmetry breaking (DCSB). The first one, the Nambu-Jona-Lasinio (NJL)…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. A. Andrianov , V. A. Andrianov