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We re-examine the so-called Nambu-Jona-Lasinio mechanism suggested by Song, Xu and Chin in breaking the supersymmetry in the Wess-Zumino model and show that this mechanism cannot be justified without assuming special effects between…

High Energy Physics - Phenomenology · Physics 2009-10-28 Tomohiro Matsuda

The finite temperature effective potential in the 2+1 dimensional Nambu-Jona-Lasinio model is constructed up to the next to leading order in the large $N$ expansion, where $N$ is the number of flavors in the model. The distinctive feature…

High Energy Physics - Phenomenology · Physics 2016-08-25 E. P. Esposito , I. A. Shovkovy , L. C. R. Wijewardhana

We present and test a new method for simulating dynamical fermions with fat links. Our construction is based on the introduction of auxiliary but dynamical gauge fields and works with any fermionic action and can be combined with any…

High Energy Physics - Lattice · Physics 2009-10-31 F. Knechtli , A. Hasenfratz

The renormalisation group flow of the chiral Nambu--Jona-Lasinio (NJL) model with one fermion flavor is mapped out in the symmetric phase with the help of the Functional Renormalisation Group (FRG) method using a physically motivated…

High Energy Physics - Theory · Physics 2020-06-24 A. Jakovac , A. Patkos

We present a lattice study of a four fermion theory, known as Nambu Jona-Lasinio (NJL) theory, via Wilson fermions. Four fermion interactions naturally occur in several extensions of the Standard Model as a low energy parameterisation of a…

High Energy Physics - Lattice · Physics 2017-02-16 Jarno Rantaharju , Vincent Drach , Ari Hietanen , Claudio Pica , Francesco Sannino

We present a study of the effective action approach to incorporate higher-order effects in e^+e^- -> n fermions. In its minimal version, the effective action approach is found to exhibit problems with unitarity and high-energy behaviour. We…

High Energy Physics - Phenomenology · Physics 2009-11-10 W. Beenakker , A. P. Chapovsky , A. Kanaki , C. G. Papadopoulos , R. Pittau

We derive the fragmentation function (FF), which describes the probability for a charm quark to emit a $D$ meson with a certain momentum fraction, in the Nambu-Jona-Lasinio (NJL) model. The corresponding elementary FF is calculated with the…

High Energy Physics - Phenomenology · Physics 2020-09-02 Dong-Jing Yang , Hsiang-nan Li

We investigate the current-current correlation functions or the so-called response functions of a two-flavor Nambu-Jona-Lasino model at finite temperature and density. We study the linear response by using the functional path integral…

Nuclear Theory · Physics 2019-08-23 Chengfu Mu , Ziyue Wang , Lianyi He

The effects of meson loops in the vacuum sector of the Nambu--Jona-Lasinio model are calculated. Using the effective action formalism we take consistently all next-to-leading-order $1 \over \Nc$ terms into account. This leads to a…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. Nikolov , W. Broniowski , C. V. Christov , G. Ripka , K. Goeke

A novel strategy to handle divergences typical of perturbative calculations is implemented for the Nambu--Jona-Lasinio model and its phenomenological consequences investigated. The central idea of the method is to avoid the critical step…

High Energy Physics - Theory · Physics 2008-11-26 O. A. Battistel , G. Dallabona , G. Krein

A flavor-dependent model (FDM) is proposed in this work. The model extends the Standard Model by an extra $U(1)_F$ local gauge group, two scalar doublets, one scalar singlet and two right-handed neutrinos, where the additional $U(1)_F$…

High Energy Physics - Phenomenology · Physics 2024-05-29 Jin-Lei Yang , Hai-Bin Zhang , Tai-Fu Feng

The second functional derivative of the effective potential of pure fermionic field theories is rewritten in a factorized form which facilitates the evaluation of the renormalisation flow rate of the effective action in the Wetterich…

High Energy Physics - Theory · Physics 2015-06-16 A. Jakovac , A. Patkos

The main results of our analysis of the two flavor Nambu--Jona-Lasinio model with $SU(2) \times SU(2)$ chiral symmetry on the four--dimensional hypercubic lattice with naive and Wilson fermions are presented. Large $N$ techniques and…

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

We investigate strong and radiative meson decays in a generalized Nambu--Jona-Lasinio model. The one loop order calculation provides a satisfactory agreement with the data for the mesonic spectrum and for radiative decays. Higher order…

High Energy Physics - Phenomenology · Physics 2009-10-22 V. Bernard , A. H. Blin , B. Hiller , U. -G. Meißner , M. C. Ruivo

We estimate the effects of dynamical fermions by extrapolating to positive flavour numbers the results from negative values obtained by adding to the pure gauge sector a fermion action where the fields obey a Bose statistics: the bermions.

High Energy Physics - Lattice · Physics 2015-06-25 G. M. de Divitiis , R. Frezzotti , M. Guagnelli , M. Masetti , R. Petronzio

The phase diagram of strong interaction matter is analyzed utilizing the Nambu--Jona-Lasinio model. Special emphasis is placed on its dependence on an external magnetic field and isospin chemical potential. Using flavor mixing induced by…

High Energy Physics - Phenomenology · Physics 2017-03-22 Stefan Rechenberger

Results are presented from a Monte Carlo simulation of the Nambu -- Jona-Lasinio model with SU(2)xSU(2) chiral symmetry and N_f=2 flavors of fermion. We show that fits to the equation of state are sensitive to the shape and extent of the…

High Energy Physics - Lattice · Physics 2009-10-30 Simon Hands

The phase diagram of the two-dimensional Nambu--Jona-Lasinio model with isospin is explored in the large Nc limit with semiclassical methods. We consider finite temperature and include chemical potentials for all conserved charges. In the…

High Energy Physics - Theory · Physics 2020-01-22 Michael Thies

We present results from numerical simulations of the 2+1d SU(2)xSU(2) Nambu - Jona-Lasinio model with N_f=4 fermion flavours at zero and nonzero temperature T. At zero temperature, critical exponents are extracted from the scaling of the…

High Energy Physics - Lattice · Physics 2014-11-17 Costas G. Strouthos , David N. Walters

We show how the effective action of the Extended Nambu--Jona-Lasinio model (ENJL) can be defined in the presence of anomalies in a way that reproduces the flavour anomaly. This necessarily breaks Vector Meson Dominance (VMD) in the usual…

High Energy Physics - Phenomenology · Physics 2011-03-31 Johan Bijnens , Joaquim Prades