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The gauge invariant minimal couplings for a class of relativistic free matter fields with global symmetry (related to usual charge conservation) have been obtained by incorporating an iterative Noether mechanism. Non-relativistic reduction…

High Energy Physics - Theory · Physics 2025-10-15 Ashis Saha , Rabin Banerjee , Sunandan Gangopadhyay

The Schwinger-Dyson equations in the ladder approximation for $2D$ induced gravity coupled to fermions on a flat background are obtained in conformal gauge. A numerical study of these equations shows the possiblity of chiral symmetry…

High Energy Physics - Theory · Physics 2009-09-25 E. Elizalde , S. D. Odintsov , A. Romeo , Yu. I. Shil'nov

Chiral antisymmetric tensor fields can have chiral couplings to quarks and leptons. Their kinetic terms do not mix different representations of the Lorentz symmetry and a local mass term is forbidden by symmetry. The chiral couplings to the…

High Energy Physics - Theory · Physics 2008-11-26 C. Wetterich

We propose the gauged Thirring model as a natural gauge-invariant generalization of the Thirring model, four-fermion interaction of current-current type. In the strong gauge-coupling limit, the gauged Thirring model reduces to the recently…

High Energy Physics - Theory · Physics 2009-10-30 Kei-Ichi Kondo

We extend the Wilson renormalization group (RG) formulation to chiral gauge theories and show that local gauge symmetry can be implemented by a suitable choice of the RG flow boundary conditions. Since the space-time dimension is four,…

High Energy Physics - Theory · Physics 2009-10-30 M. Bonini , F. Vian

Starting from a reformulation of the Thirring model as a gauge theory, we consider the bosonization of the $D$-dimensional multiflavor massive Thirring model $(D \ge 2)$ with four-fermion interaction of the current-current type. Our method…

High Energy Physics - Theory · Physics 2009-10-28 Kei-Ichi Kondo

A gauge-invariant formalism is presented for the practical treatment of photo- and electroproduction of pseudoscalar mesons off nucleons that allows an explicit incorporation of hadronic final-state interactions. The semi-phenomenological…

Nuclear Theory · Physics 2007-05-23 H. Haberzettl , K. Nakayama , S. Krewald

Dynamical nature of the gauge degree of freedom and its effect to fermion spectrum are studied for four-dimensional nonabelian chiral gauge theory in the vacuum overlap formulation. The covariant gauge fixing term and the Faddeev-Popov…

High Energy Physics - Lattice · Physics 2007-05-23 Yoshio Kikukawa

The problem of gauge invariance of the physical sector of (2+1)-dimensional Maxwell-Chern-Simons quantum electrodynamics (QED$_{2+1}$) is studied. It is shown that using Proca mass term for the infrared regularization one obtains…

High Energy Physics - Theory · Physics 2007-05-23 I. V. Tyutin , Vad. Yu. Zeitlin

Focusing on gauge degrees of freedom specified by a 1+3 dimensions model hosting a Maxwell term plus a Lorentz and CPT non-invariant Chern-Simons-like contribution, we obtain a minimal extension of such a system to a supersymmetric…

High Energy Physics - Theory · Physics 2009-11-10 H. Belich , J. L. Boldo , L. P. Colatto , J. A. Helayel-Neto , A. L. M. A. Nogueira

We find a large class of quantum gauge models with massless fermions where the coupling to the gauge fields is not chirally symmetric and which nevertheless do not suffer from gauge anomalies. To be specific we study two dimensional Abelian…

High Energy Physics - Theory · Physics 2009-10-31 Harald Grosse , Edwin Langmann

Recently, a new constraint on the structure of a wide class of strongly coupled field theories has been proposed. It takes the form of an inequality limiting the number of degrees of freedom in the infrared description of a theory to be no…

High Energy Physics - Theory · Physics 2009-10-31 Thomas Appelquist , Andrew Cohen , Martin Schmaltz , Robert Shrock

We present a general formalism based on the framework of non-commutative geometry, suitable to the study the standard model of electroweak interactions, as well as that of more general gauge theories. Left- and right-handed chiral fields…

High Energy Physics - Phenomenology · Physics 2009-11-11 Cosmin Macesanu , Kameshwar C. Wali

The Chiral Confining Lagrangian, based on the chiral theory with quark degrees of freedom, is used to study the spectroscopy of scalar mesons. The formalism does not contain arbitrary fitting parameters and takes into account infinite…

High Energy Physics - Phenomenology · Physics 2020-06-24 M. S. Lukashov , Yu. A. Simonov

The large-mass behaviour of loop variables in Maxwell-Chern-Simons theory is analysed by means of a gauge-field transformation which allows to reset the Maxwell-Chern-Simons action to pure Chern-Simons.

High Energy Physics - Theory · Physics 2008-11-26 V. E. R. Lemes , C. A. Linhares , S. P. Sorella , L. C. Q. Vilar

The fundamental concepts of Riemannian geometry, such as differential forms, vielbein, metric, connection, torsion and curvature, are generalized in the context of non-commutative geometry. This allows us to construct the…

High Energy Physics - Theory · Physics 2009-11-07 Nguyen Ai Viet , Kameshwar C. Wali

We investigate the critical behavior of the gauged NJL model (QED plus 4-fermion interaction) and the gauged Yukawa model by use of the inversion method. By calculating the gauge-invariant chiral condensate in the inversion method to the…

High Energy Physics - Theory · Physics 2015-06-26 K. -I. Kondo

The anomaly implies an obstruction to a fully chiral covariant calculation of the effective action in the abnormal parity sector of chiral theories. The standard approach then is to reconstruct the anomalous effective action from its…

High Energy Physics - Theory · Physics 2009-03-24 L. L. Salcedo

The consistent description of unstable particles, renormalons, or other Schwinger--Dyson-type of solutions within the framework of perturbative gauge field theories necessitates the definition and resummation of off-shell Green's functions,…

High Energy Physics - Phenomenology · Physics 2011-08-17 Joannis Papavassiliou , Apostolos Pilaftsis

The commonly used types of effective theory for vector mesons are reviewed and their relationships clarified. They are shown to correspond to different choices of field for spin-1 particles and the rules for transforming between them are…

High Energy Physics - Phenomenology · Physics 2011-07-19 Michael C. Birse
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