First order Lagrangians and path integral quantization for Hubbard operators

2016 ◽  
Vol 10 ◽  
pp. 173-200
Author(s):  
O.P. Zandron ◽  
P.A. Turner
Keyword(s):  
Path Integral ◽  
Path Integral Quantization ◽  
First Order ◽  
Hubbard Operators

scholarly journals First-Order Lagrangians and Path-Integral Quantization in the t–J Model

1999 ◽  
Vol 275 (2) ◽  
pp. 238-253 ◽  
Author(s):  
A. Foussats ◽  
A. Greco ◽  
O.S. Zandron
Keyword(s):  
Path Integral ◽  
Path Integral Quantization ◽  
First Order

THE HUBBARD OPERATORS AND THE SLAVE-PARTICLES PATH-INTEGRAL REPRESENTATIONS DESCRIBING THE t-J MODEL

2007 ◽  
Vol 21 (11) ◽  
pp. 1861-1874
Author(s):  
O. S. ZANDRON
Keyword(s):  
Path Integral ◽  
Integral Representations ◽  
Symplectic Method ◽  
Generating Functional ◽  
First Order ◽  
The Family ◽  
Hubbard Operators

In the present work it is shown that the family of first-order Lagrangians for the t-J model and the corresponding correlation generating functional previously found can be exactly mapped into the slave-fermion decoupled representation. Next, by means of the Faddeev-Jackiw symplectic method, a different family of Lagrangians is constructed and it is shown how the corresponding correlation generating functional can be mapped into the slave-boson decoupled representation.

SECOND CLASS CONSTRAINTS IN THE BATALIN-VILKOVISKY LAGRANGIAN BRST QUANTIZATION

1990 ◽  
Vol 05 (03) ◽  
pp. 195-205 ◽  
Author(s):  
JEAN M. L. FISCH
Keyword(s):  
Hamiltonian Systems ◽  
Path Integral ◽  
Brst Quantization ◽  
Dirac Bracket ◽  
Path Integral Quantization ◽  
First Order ◽  
Constrained Hamiltonian Systems ◽  
Fixed Action ◽  
Effective Path ◽  
Invariant Gauge

The antibracket-antifield BRST formalism developed by Batalin and Vilkovisky is applied to constrained Hamiltonian systems with second class constraints. We derive an effective path integral in which first class and second class constraints are incorporated in a BRST invariant gauge fixed action. Full explicit agreement is found with the canonical path integral quantization of systems with second class constraints and, consequently, with the Lagrangian and Hamiltonian BRST quantization of first order Hamiltonian systems where the second class constraints have been eliminated by introducing the Dirac bracket.

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.

PATH INTEGRAL METHOD FOR LIMITING DISTRIBUTION OF AN ESTIMATOR ARISING FROM AN AR(1)-PROCESS WITH A UNIT ROOT

2013 ◽  
Vol 16 (04) ◽  
pp. 1350029
Author(s):  
SHIH-FENG HUANG ◽  
YUH-JIA LEE ◽  
HSIN-HUNG SHIH
Keyword(s):  
Characteristic Function ◽  
Path Integral ◽  
Unit Root ◽  
Autoregressive Model ◽  
Integral Method ◽  
Unit Root Test ◽  
Random Variable ◽  
Limiting Distribution ◽  
First Order ◽  
Path Integral Method

We propose the path-integral technique to derive the characteristic function of the limiting distribution of the unit root test in a first order autoregressive model. Our results provide a new and useful approach to obtain the closed form of the characteristic function of a random variable associated with the limiting distribution, which is realized as a ratio of Brownian functionals on the classical Wiener space.

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