Path-integral quantization and the ground-state functional for Maxwell-Chern-Simons system

1995 ◽  
Vol 34 (9) ◽  
pp. 1827-1833 ◽  
Author(s):  
Sze-Shiang Feng ◽  
Xi-Jun Qiu
Keyword(s):  
Path Integral ◽  
Ground State ◽  
Path Integral Quantization ◽  
Chern Simons

FUSION RULES, TOPOLOGICAL QUANTUM MECHANICS AND THREE-MANIFOLDS

1993 ◽  
Vol 08 (31) ◽  
pp. 3001-3010 ◽  
Author(s):  
JUAN MATEOS GUILARTE
Keyword(s):  
Field Theory ◽  
Quantum Mechanics ◽  
Path Integral ◽  
Hamiltonian Formalism ◽  
Fusion Rules ◽  
Path Integral Quantization ◽  
Topological Quantum ◽  
Verlinde Algebra ◽  
Chern Simons

Path-integral quantization of Chern-Simons field theory in the Hamiltonian formalism is developed. A derivation of Verlinde algebra in topological quantum mechanics arises and three-manifold invariants are recovered.

RELATIONS BETWEEN NON-ABELIAN CHERN–SIMONS FIELDS AND FRACTIONAL SPINS

2008 ◽  
Vol 22 (01) ◽  
pp. 45-50 ◽  
Author(s):  
YONG-LONG WANG ◽  
CHANG-TAN XU ◽  
LI CHEN ◽  
TONG-SONG JIANG ◽  
HUAI-TANG CHEN
Keyword(s):  
Path Integral ◽  
Rotational Motion ◽  
Model Coupling ◽  
Noether Theorem ◽  
Constrained System ◽  
Path Integral Quantization ◽  
Quantum Symmetries ◽  
Quantization Formalism ◽  
Chern Simons

In this letter, we briefly recall the quantization of CP4 f1 nonlinear σ model coupling with non-Abelian Chern–Simons fields in Faddeev–Senjanovic (FS) path-integral quantization formalism, and discuss the quantum symmetries in this system through the quantum-extended Noether theorem. We obtain interesting and important results, that is the fractional spins of the constrained system are from the orbitally rotational motion of magneton of the non-Abelian Chern–Simons fields, that is, from the interaction between magnetons coupling to the propagator and magnetons coupling to the fixed lattice, with the former orbitally rotating around the latter. This means that anomalous spins are from the interactions among magnetons of Chern–Simons fields.

LIGHT-FRONT HAMILTONIAN AND PATH INTEGRAL QUANTIZATION OF VECTOR SCHWINGER MODEL WITH A PHOTON MASS TERM

2012 ◽  
Vol 27 (27) ◽  
pp. 1250157 ◽  
Author(s):  
USHA KULSHRESHTHA
Keyword(s):  
Path Integral ◽  
Light Cone ◽  
Mass Term ◽  
Light Front ◽  
Light Cone Gauge ◽  
Schwinger Model ◽  
Path Integral Quantization ◽  
New Class ◽  
Gauge Fixing ◽  
Form Theory

Vector Schwinger model with a mass term for the photon, describing 2D electrodynamics with massless fermions, studied by us recently [U. Kulshreshtha, Mod. Phys. Lett. A22, 2993 (2007); U. Kulshreshtha and D. S. Kulshreshtha, Int. J. Mod. Phys. A22, 6183 (2007); U. Kulshreshtha, PoS LC2008, 008 (2008)], represents a new class of models. This theory becomes gauge-invariant when studied on the light-front. This is in contrast to the instant-form theory which is gauge-non-invariant. In this work, we study the light-front Hamiltonian and path integral quantization of this theory under appropriate light-cone gauge-fixing. The discretized light-cone quantization of the theory where we wish to make contact with the experimentally observational aspects of the theory would be presented in a separate paper.

W-ALGEBRA REALIZATIONS AND W-GRAVITY ANOMALIES

1991 ◽  
Vol 06 (32) ◽  
pp. 2995-3003 ◽  
Author(s):  
C. M. HULL ◽  
L. PALACIOS
Keyword(s):  
Path Integral ◽  
Current Algebra ◽  
Gravity Anomalies ◽  
Normal Ordering ◽  
Path Integral Quantization ◽  
Transformation Rules ◽  
Higher Derivative ◽  
Quantum Current ◽  
Boson Model ◽  
Background Charge

The coupling of scalars fields to chiral W3 gravity is reviewed. In general the quantum current algebra generated by the spin-two and three currents does not close when the "natural" regularization (corresponding to the normal ordering with respect to the modes of ∂ϕi) is used, and the non-closure reflects matter-dependent anomalies in the path integral quantization. We consider the most general modification of the current, involving higher derivative "background charge" terms, and find the conditions for them to form a closed algebra in the "natural" regularization. These conditions can be satisfied only for the two-boson model. In that case, it is possible to cancel all the matter-dependent anomalies by adding finite local counter terms to the action and modifying the transformation rules of the fields.

PATH INTEGRAL QUANTIZATION OF SUPERSTRING

2010 ◽  
Vol 25 (02) ◽  
pp. 135-141
Author(s):  
H. A. ELEGLA ◽  
N. I. FARAHAT
Keyword(s):  
Phase Space ◽  
Differential Equations ◽  
Path Integral ◽  
Equations Of Motion ◽  
Singular System ◽  
Constrained Systems ◽  
Classical Structure ◽  
Path Integral Quantization ◽  
Total Differential

Motivated by the Hamilton–Jacobi approach of constrained systems, we analyze the classical structure of a four-dimensional superstring. The equations of motion for a singular system are obtained as total differential equations in many variables. The path integral quantization based on Hamilton–Jacobi approach is applied to quantize the system, and the integration is taken over the canonical phase space coordinates.

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