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A less well known variant of the Nambu--Jona-Lasinio model with Nc colors and U(2)L X U(2)R chiral symmetry is studied in 1+1 dimensions. Using semi-classical methods appropriate for the large Nc limit, we determine the vacuum manifold, the…

High Energy Physics - Theory · Physics 2021-02-16 Michael Thies

We propose an extended Nambu--Jona-Lasinio model to include the heavy mesons with the heavy quark symmetry. The quark current-current interaction is generalized to include the heavy quark currents. In order to comply with the heavy quark…

High Energy Physics - Phenomenology · Physics 2012-05-03 Xiao-Yu Guo , Xiao-Lin Chen , Wei-Zhen Deng

An extended Nambu-Jona-Lasinio (NJL) model with chiral group $U(2)\times U(2)$ and spin-0 and spin-1 four quark interactions is used to develop the gauge covariant approach to the diagonalization of the $\pi-a_1$ mixing in the presence of…

High Energy Physics - Phenomenology · Physics 2019-12-02 A. A. Osipov , B. Hiller , P. M. Zhang

We propose a modification of the Hybrid-Monte-Carlo algorithm that allows for a larger step-size of the integration scheme at constant acceptance rate. The key ingredient is that the pseudo-fermion action is split into two parts. We test…

High Energy Physics - Lattice · Physics 2009-11-07 Martin Hasenbusch

The formation of charged pion condensate under parallel electromagnetic fields is studied within the two-flavor Nambu--Jona-Lasinio model. The technique of Schwinger proper time method is extended to explore the quantity locating in the…

High Energy Physics - Phenomenology · Physics 2018-05-03 Jingyi Chao , Mei Huang , Andrey Radzhabov

QCD at finite isospin chemical potential $\mu_{\text I}$ possesses a positively definite fermion determinant and the lattice simulation can be successfully performed. While the two-flavor effective models may be sufficient to describe the…

High Energy Physics - Phenomenology · Physics 2013-09-19 Tao Xia , Lianyi He , Pengfei Zhuang

The Nambu--Jona-Lasinio model is chirally symmetric. Addition of a Wilson term explicitly breaks this symmetry and leaves the model with a remaining parity-flavor symmetry. In the approximation of a large number of colors it has been shown…

High Energy Physics - Lattice · Physics 2009-10-22 K. M. Bitar , P. M. Vranas

We present a relativistic molecular dynamics approach based on the Nambu--Jona-Lasinio Lagrangian. We derive the relativistic time evolution equations for an expanding plasma, discuss the hadronization cross section and how they act in such…

High Energy Physics - Phenomenology · Physics 2013-04-02 Rudy Marty , Jörg Aichelin

We propose a modification of the Hybrid-Monte-Carlo algorithm that allows for a larger step-size of the integration scheme at constant acceptance rate. The key ingredient is the splitting of the pseudo-fermion action into two parts. We test…

High Energy Physics - Lattice · Physics 2015-06-25 M. Hasenbusch , K. Jansen

Iterative generative models such as Flow Matching and Diffusion models have demonstrated strong test-time scaling behavior, where additional inference computation can improve generation quality. In contrast, Drift Models offer efficient…

Machine Learning · Computer Science 2026-05-19 Chenrui Ma , Xi Xiao , Lin Zhao , Tianyang Wang , Ferdinando Fioretto , Yanning Shen

Lattice fermion actions are constructed with path integrals which are equivalent to the free one-flavour staggered fermion determinant. The Dirac operators used are local and have an identical spectrum of states to the staggered theory.…

High Energy Physics - Lattice · Physics 2007-05-23 Francesca Maresca , Mike Peardon

The mass generation in the (3+1)-dimensional supersymmetric Nambu-Jona-Lasinio model in a constant magnetic field is studied. It is shown that the external magnetic field catalyzes chiral symmetry breaking.

High Energy Physics - Theory · Physics 2009-10-30 Igor A. Shovkovy

We study the mixing of different kind of fields (scalar in 0+1D, scalar in 3+1D, fermion in 3+1D) treating the mixing term as an interaction. To this aim, we employ the usual perturbative series in the interaction picture. We find that…

High Energy Physics - Phenomenology · Physics 2023-07-31 Massimo Blasone , Francesco Giacosa , Luca Smaldone , Giorgio Torrieri

We study the dynamical behaviour of ultracold fermionic atoms loaded into an optical lattice under the presence of an effective magnetic flux, induced by spin-orbit coupled laser driving. At half filling, the resulting system can emulate a…

Quantum Gases · Physics 2021-04-06 Mikhail Mamaev , Itamar Kimchi , Rahul M. Nandkishore , Ana Maria Rey

We investigate the neighbourhood of the chiral phase transition in a lattice Nambu--Jona-Lasinio model, using both Monte Carlo methods and lattice Schwinger-Dyson equations.

High Energy Physics - Lattice · Physics 2008-11-26 A. Ali Khan , M. Goeckeler , R. Horsley , P. E. L. Rakow , G. Schierholz , H. Stueben

The fermion mass matrices are calculated in the framework of the dynamical mass generation by the broken horizontal gauge interactions. The non-proportional mass spectra between up- and down-sectors and CKM mixings are obtained solely by…

High Energy Physics - Phenomenology · Physics 2010-11-01 Yasuhiko Nagoshi , Ken Nakanishi

We study the theoretical features in relation to dynamical mass generation and symmetry breaking for the recently proposed holomorphic supersymmetric Nambu--Jona-Lasinio model. The basic model has two different chiral superfields…

High Energy Physics - Phenomenology · Physics 2013-11-08 Yan-Min Dai , Gaber Faisel , Dong-Won Jung , Otto C. W. Kong

Recent development of path integral matching techniques based on the covariant derivative expansion has made manifest a universal structure of one-loop effective Lagrangians. The universal terms can be computed once and for all to serve as…

High Energy Physics - Phenomenology · Physics 2021-03-17 Sebastian A. R. Ellis , Jérémie Quevillon , Pham Ngoc Hoa Vuong , Tevong You , Zhengkang Zhang

We analyze the current-biased Shapiro experiment in a Josephson junction formed by two one-dimensional nanowires featuring Majorana fermions. Ideally, these junctions are predicted to have an unconventional $4\pi$-periodic Josephson effect…

Mesoscale and Nanoscale Physics · Physics 2012-10-29 Fernando Domínguez , Fabian Hassler , Gloria Platero

We propose a viable model based on the $SU(3)_C\times SU(3)_L\times U(1)_X$ gauge group, augmented by the $U(1)_{L_g}$ global lepton number symmetry and the $\Delta(27) \times Z_3\times Z_{16}$ discrete group, capable of explaining the…

High Energy Physics - Phenomenology · Physics 2018-10-05 A. E. Cárcamo Hernández , H. N. Long , V. V. Vien