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We reformulate the Thirring model in $D$ $(2 \le D < 4)$ dimensions as a gauge theory by introducing $U(1)$ hidden local symmetry (HLS) and study the dynamical mass generation of the fermion through the Schwinger-Dyson (SD) equation. By…

High Energy Physics - Theory · Physics 2009-10-28 Taichi Itoh , Yoonbai Kim , Masaki Sugiura , Koichi Yamawaki

The relativistic Dirac equation in four-dimensional spacetime reveals a coherent relation between the dimensions of spacetime and the degrees of freedom of fermionic spinors. A massless Dirac fermion generates new symmetries corresponding…

High Energy Physics - Theory · Physics 2017-09-01 Yue-Liang Wu

A dynamically broken hadron supersymmetry appears to exist as a consequence of QCD. The reasons for the supersymmetry appear most transparently in the framework of the constituent quark model with a diquark approximation to two quarks.…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. B. Lichtenberg

A quantitative study of the effects of dynamical chiral symmetry breaking on the mass generation of the low-lying hadrons in a dynamical lattice QCD simulation is presented. The evolution of light hadron masses upon increasing the number of…

High Energy Physics - Lattice · Physics 2014-01-24 M. Denissenya , L. Ya. Glozman

A dynamical mechanism of symmetry breaking in which gauge and matter fields play an active role is proposed. It basically represents a covariant generalization of the mechanism responsible for superconductivity, and provides a {\em natural}…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Delgado

We elaborate a full superfield description of the interacting system of dynamical D=4, N=1 supergravity and dynamical superstring. As far as minimal formulation of the simple supergravity is used, such a system should contain as well the…

High Energy Physics - Theory · Physics 2009-11-10 Igor A. Bandos , Jose M. Isidro

We consider a theory of gauge fields and fermions which we argue gives rise to dynamics similar to that of the Nambu--Jona-Lasinio (NJL) model when a gauge coupling constant is appropriately fine-tuned. We discuss the application of this…

High Energy Physics - Phenomenology · Physics 2016-09-01 Markus A. Luty

A nonperturbative Schwinger-Dyson analysis of mass generation is presented for a non-Hermitian PT-symmetric field theory in four dimensions of an axion coupled to a Dirac fermion.The model is motivated by phenomenological considerations.The…

High Energy Physics - Phenomenology · Physics 2023-01-04 N. E. Mavromatos , Sarben Sarkar , A. Soto

Dynamical chiral symmetry breaking (D$\chi$SB) is studied in the Nambu-Jona-Lasinio model for an arbitrary combination of external constant electric and magnetic fields. In 3+1 dimensions it is shown that the critical coupling constant…

High Energy Physics - Theory · Physics 2009-10-30 A. Yu. Babansky , E. V. Gorbar , G. V. Shchepanyuk

By computing the two-loop effective potential of the D=3 N=1 supersymmetric Chern-Simons model minimally coupled to a massless self-interacting matter superfield, it is shown that supersymmetry is preserved, while the internal U(1) and the…

High Energy Physics - Theory · Physics 2012-06-20 E. A. Gallegos , A. J. da Silva

New recent results in supersymmetric gauge theories based on holomorphy and symmetry considerations are extended to the case where the gauge coupling constant is given by the real part of a chiral superfield. We assume here that its…

High Energy Physics - Theory · Physics 2009-10-28 E. Dudas

Novel 3+1 dimensional N=2 superconformal field theories (with tensionless BPS string solitons) are believed to arise when two sets of M5 branes intersect over a 3+1 dimensional hyperplane. We derive a DLCQ description of these theories as…

High Energy Physics - Theory · Physics 2009-10-31 Shamit Kachru , Yaron Oz , Zheng Yin

We investigate the phenomena of the dynamical chiral symmetry breaking (DCSB), color superconductivity (CSC), and Bose-Einstein condensation (BEC) in an ${\cal N}=1$ four-dimensional generalized SUSY Nambu$-$Jona-Lasinio model at finite…

High Energy Physics - Phenomenology · Physics 2008-11-26 Tadafumi Ohsaku

We consider a supersymmetric QCD with soft supersymmetry breaking terms as the dynamics for the electroweak symmetry breaking. We find various advantages compared to the non-supersymmetric models, such as a natural incorporation of the…

High Energy Physics - Phenomenology · Physics 2011-01-28 Hiraku Fukushima , Ryuichiro Kitano , Masahiro Yamaguchi

We construct the classical action of the Aharony-Bergman-Jafferis-Maldacena (ABJM) model in the N=3, d=3 harmonic superspace. In such a formulation three out of six supersymmetries are realized off shell while the other three mix the…

High Energy Physics - Theory · Physics 2011-06-09 I. L. Buchbinder , E. A. Ivanov , O. Lechtenfeld , N. G. Pletnev , I. B. Samsonov , B. M. Zupnik

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 show that a Nambu-Jona-Lasinio type four-fermion coupling at the z=3 Lifshitz-like fixed point in 3+1 dimensions is asymptotically free and generates a mass scale dynamically. This result is nonperturbative in the limit of a large number…

High Energy Physics - Theory · Physics 2013-05-29 Avinash Dhar , Gautam Mandal , Spenta R. Wadia

In modern physics, spontaneous symmetry breaking is one of the most important and ubiquitous ideas. It is well known that the breakdown of global and continuous symmetry gives rise to gapless excitations called Nambu-Goldstone (NG) bosons.…

Strongly Correlated Electrons · Physics 2024-01-17 Noriaki Sannomiya

We derive the coupling of a hypermultiplet of N=2 global supersymmetry to the Dirac-Born-Infeld Maxwell theory with linear N=1 and a second nonlinear supersymmetry. At the level of global supersymmetry, this construction corresponds to the…

High Energy Physics - Theory · Physics 2010-05-07 N. Ambrosetti , I. Antoniadis , J. -P. Derendinger , P. Tziveloglou

We investigate a 6d Dirac fermion on a rectangle. It is found that the 4d spectrum is governed by $N=2$ supersymmetric quantum mechanics. Then we demonstrate that the supersymmetry is very useful for classifying all the allowed boundary…

High Energy Physics - Theory · Physics 2017-07-25 Yukihiro Fujimoto , Kouhei Hasegawa , Kenji Nishiwaki , Makoto Sakamoto , Kentaro Tatsumi
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