scholarly journals INDUCED LORENTZ-VIOLATING CHERN-SIMONS TERM IN QED: UNCOVERING SHORT DISTANCE INTERACTION TERMS IN THE EFFECTIVE LAGRANGIAN WITHOUT THE SHADOW OF REGULARIZATION

2002 ◽  
Author(s):  
LAI-HIM CHAN
Keyword(s):  
Short Distance ◽  
Interaction Terms ◽  
Effective Lagrangian ◽  
Chern Simons ◽  
Distance Interaction

scholarly journals NON-ABELIAN FRACTIONAL QUANTUM HALL STATES AND CHIRAL COSET CONFORMAL FIELD THEORIES

2000 ◽  
Vol 15 (30) ◽  
pp. 4857-4870 ◽  
Author(s):  
D. C. CABRA ◽  
E. FRADKIN ◽  
G. L. ROSSINI ◽  
F. A. SCHAPOSNIK
Keyword(s):  
Quantum Hall ◽  
Field Theories ◽  
Simons Theory ◽  
Conformal Field Theories ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Conformal Field ◽  
Quantum Hall States ◽  
Effective Lagrangian ◽  
Chern Simons

We propose an effective Lagrangian for the low energy theory of the Pfaffian states of the fractional quantum Hall effect in the bulk in terms of non-Abelian Chern–Simons (CS) actions. Our approach exploits the connection between the topological Chern–Simons theory and chiral conformal field theories. This construction can be used to describe a large class of non-Abelian FQH states.

THE EFFECTIVE LAGRANGIAN APPROACH TO THE "PROTON-SPIN PUZZLE" AND THE ISSUE OF "TWO COMPONENTS"

1992 ◽  
Vol 07 (01) ◽  
pp. 1-11 ◽  
Author(s):  
J. SCHECHTER ◽  
V. SONI ◽  
A. SUBBARAMAN ◽  
H. WEIGEL
Keyword(s):  
Matrix Element ◽  
Short Distance ◽  
Skyrme Model ◽  
Proton Spin ◽  
Point Of View ◽  
Lagrangian Approach ◽  
Lagrangian Point ◽  
Distance Information ◽  
Effective Lagrangian

The "proton-spin puzzle" is examined from the effective Lagrangian point of view. A generalized (to include "short distance" information) Skyrme model is shown to give a satisfactory picture. We then examine the question of the breakup of the axial singlet matrix element into "matter" and "glue" pieces in this framework.

scholarly journals THE EFFECTIVE LAGRANGIAN OF THREE DIMENSIONAL QUANTUM CHROMODYNAMICS

1992 ◽  
Vol 07 (32) ◽  
pp. 7989-8000 ◽  
Author(s):  
G. FERRETTI ◽  
S.G. RAJEEV ◽  
Z. YANG
Keyword(s):  
Quantum Chromodynamics ◽  
Sigma Model ◽  
Three Dimensional ◽  
Low Energy ◽  
Nonlinear Sigma Model ◽  
Flavor Symmetry ◽  
Energy Limit ◽  
Long Wavelength ◽  
Effective Lagrangian ◽  
Chern Simons

We consider the low energy limit of three dimensional quantum chromodynamics (QCD) with an even number of flavors. We show that parity is not spontaneously broken, but the global (flavor) symmetry is spontaneously broken. The low energy effective Lagrangian is a nonlinear sigma model on the Grassmannian. Some Chern-Simons terms are necessary in the Lagrangian to realize the discrete symmetries correctly. We consider also another parametrization of the low energy sector which leads to a three dimensional analogue of the Wess-Zumino-Witten-Novikov model. Since three dimensional QCD is believed to be a model for quantum antiferromagnetism, our effective Lagrangian can describe their long wavelength excitations (spin waves).

Galilean covariant effective theory for bound states of heavy mesons

2018 ◽  
Vol 33 (30) ◽  
pp. 1850180
Author(s):  
L. M. Abreu ◽  
M. de Montigny ◽  
E. S. Santos ◽  
D. F. C. A. Silva
Keyword(s):  
Bound States ◽  
Degrees Of Freedom ◽  
Dimensional Space ◽  
Heavy Meson ◽  
Effective Theory ◽  
Heavy Mesons ◽  
Interaction Terms ◽  
Effective Lagrangian ◽  
Dimensional Space Time ◽  
Covariant Version

In this work we formulate the Galilei-covariant version of an effective theory containing nonrelativistic heavy mesons and pions as degrees of freedom. This manifestly Galilean covariant framework is based on a five-dimensional space–time that has been used in the description of covariant nonrelativistic physics. In this context, effective Lagrangian is introduced without ambiguities, containing kinetic and interaction terms that are naturally Galilean invariant. The leading-order scattering amplitudes and the properties of possible heavy-meson bound states are calculated and discussed.

scholarly journals CHERN–SIMONS GAUGE THEORY COUPLED WITH BF THEORY

2003 ◽  
Vol 18 (15) ◽  
pp. 2689-2702 ◽  
Author(s):  
NORIAKI IKEDA
Keyword(s):  
Gauge Theory ◽  
Gauge Symmetry ◽  
Three Dimensional ◽  
Three Dimensions ◽  
Topological Field Theory ◽  
Courant Algebroid ◽  
Bf Theory ◽  
Interaction Terms ◽  
Topological Field ◽  
Chern Simons

We couple three-dimensional Chern–Simons gauge theory with BF theory and study deformations of the theory by means of the antifield BRST formalism. We analyze all possible consistent interaction terms for the action under physical requirements and find a new topological field theory in three dimensions with new nontrivial terms and a nontrivial gauge symmetry. We analyze the gauge symmetry of the theory and point out the theory that has the gauge symmetry based on the Courant algebroid.

EFFECTIVE ACTIONS FOR GAUGE THEORIES WITH CHERN-SIMONS TERMS-I

1990 ◽  
Vol 05 (07) ◽  
pp. 1267-1284 ◽  
Author(s):  
B.A. BAMBAH ◽  
C. MUKKU
Keyword(s):  
High Temperature ◽  
Gauge Theory ◽  
Quark Gluon Plasma ◽  
Gauge Theories ◽  
Three Dimensional ◽  
Background Field ◽  
Gluon Plasma ◽  
Feynman Gauge ◽  
Effective Lagrangian ◽  
Chern Simons

The effective Lagrangian for a three-dimensional gauge theory with a Chern-Simons term is evaluated up to one-loop effects. It is shown to be completely finite. It also does not exhibit any imaginary part. The calculation is carried out in a background field analogue of the Feynman gauge and gauge invariance is maintained throughout the calculation. In the appendix, an argument is presented as to why this Feynman gauge may be a “good” gauge for our results to be applied to high temperature QCD and in particular to the quark-gluon plasma.

scholarly journals A CONSTITUENT QUARK-ANTIQUARK EFFECTIVE LAGRANGIAN BASED ON THE DUAL SUPERCONDUCTING MODEL OF LONG DISTANCE QCD

1996 ◽  
Vol 11 (02) ◽  
pp. 343-360 ◽  
Author(s):  
M. BAKER ◽  
JAMES S. BALL ◽  
F. ZACHARIASEN
Keyword(s):  
Field Distribution ◽  
Lagrangian Density ◽  
Constituent Quark ◽  
Effective Interaction ◽  
Long Distance ◽  
First Order ◽  
Effective Lagrangian ◽  
Color Field ◽  
Classical Particles ◽  
Distance Interaction

We review the assumptions leading to the description of long distance QCD by a Lagrangian density expressed in terms of dual potentials. We find the color field distribution surrounding a quark-antiquark pair to first order in their velocities. Using this distribution we eliminate the dual potentials from the Lagrangian density and obtain an effective interaction Lagrangian LI(x1, x2; v1, v2) depending only upon the quark and antiquark coordinates and velocities, valid to second order in their velocities. We propose LI as the Lagrangian describing the long distance interaction between constituent quarks. In this paper, for simplicity of presentation, we treat the quarks as classical particles.

BRAID STATISTICS FOR THE SOURCES OF THE NONABELIAN CHERN-SIMONS TERM

1990 ◽  
Vol 05 (12) ◽  
pp. 2423-2470 ◽  
Author(s):  
A. P. BALACHANDRAN ◽  
M. BOURDEAU ◽  
S. JO
Keyword(s):  
Hilbert Space ◽  
Quantum Mechanics ◽  
Hilbert Spaces ◽  
Point Particle ◽  
Yang Mills ◽  
Direct Sum ◽  
Identical Point ◽  
Effective Lagrangian ◽  
All Solutions ◽  
Chern Simons

A Lagrangian consisting of an Abelian Chern-Simons term and N identical point particle sources is known to lead to fractional statistics for the sources. In this paper, we investigate the non-Abelian generalization of this system with special emphasis on source statistics. All solutions for the Yang-Mills potential in the presence of identical or nonidentical sources are found. For two or more sources, they fall in many gauge inequivalent classes whereas in the Abelian problem, there is only one such class. An effective Lagrangian for N sources is found for each of these solutions. The quantum mechanics and statistics of the sources are sensitive to the potential leading to the effective Lagrangian. There is for instance, a class of solutions for identical sources which are not invariant under exchange of sources. For these solutions, the identity of the sources obliges us to consider such a potential and all its exchange transforms at the same time, and to introduce a Hilbert space of states which is the direct sum of the Hilbert spaces associated with each of these potentials. There are also exchange invariant potentials for identical sources. For SU(3) and N = 3, all exchange invariant potentials are shown to lead to statistics defined by S3 representations. The nature of statistics for SU (M) for higher M as also the creation of intrinsic spin by self interaction are briefly considered.

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