scholarly journals Light-front Hamiltonian and path integral formulations of large N scalar QCD2

2012 ◽  
Vol 708 (1-2) ◽  
pp. 195-198 ◽  
Author(s):  
Usha Kulshreshtha ◽  
D.S. Kulshreshtha ◽  
J.P. Vary
Keyword(s):  
Path Integral ◽  
Light Front ◽  
Large N

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.

scholarly journals TRANSVERSE CHARGE AND MAGNETIZATION DENSITIES IN THE NUCLEON'S CHIRAL PERIPHERY

2014 ◽  
Vol 25 ◽  
pp. 1460036 ◽  
Author(s):  
C. GRANADOS ◽  
C. WEISS
Keyword(s):  
Form Factors ◽  
High Energy ◽  
Effective Field ◽  
Light Front ◽  
Chiral Effective Field Theory ◽  
Independent Manner ◽  
Generalized Parton Distributions ◽  
Large N ◽  
Mechanical Interpretation ◽  
High Energy Scattering

In the light–front description of nucleon structure the electromagnetic form factors are expressed in terms of frame–independent transverse densities of charge and magnetization. Recent work has studied the transverse densities at peripheral distances [Formula: see text], where they are governed by universal chiral dynamics and can be computed in a model–independent manner. Of particular interest is the comparison of the peripheral charge and magnetization densities. We summarize (a) their interpretation as spin–independent and –dependent current matrix elements; (b) the leading–order chiral effective field theory results; (c) their mechanical interpretation in the light–front formulation; (d) the large–Nc limit of QCD and the role of Δ intermediate states; (e) the connection with generalized parton distributions and peripheral high–energy scattering processes.

scholarly journals PERTURBATIVE VACUA FROM IIB MATRIX MODEL

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2279-2280
Author(s):  
HIKARU KAWAI ◽  
MATSUO SATO
Keyword(s):  
String Theory ◽  
Path Integral ◽  
Matrix Model ◽  
Moduli Space ◽  
Two Dimensional ◽  
Reduced Models ◽  
Yang Mills ◽  
Large N ◽  
Super Yang Mills Theory

It has not been clarified whether a matrix model can describe various vacua of string theory. In this talk, we show that the IIB matrix model includes type IIA string theory1. In the naive large N limit of the IIB matrix model, configurations consisting of simultaneously diagonalizable matrices form a moduli space, although the unique vacuum would be determined by complicated dynamics. This moduli space should correspond to a part of perturbatively stable vacua of string theory. Actually, one point on the moduli space represents type IIA string theory. Instead of integrating over the moduli space in the path-integral, we can consider each of the simultaneously diagonalizable configurations as a background and set the fluctuations of the diagonal elements to zero. Such procedure is known as quenching in the context of the large N reduced models. By quenching the diagonal elements of the matrices to an appropriate configuration, we show that the quenched IIB matrix model is equivalent to the two-dimensional large N [Formula: see text] super Yang-Mills theory on a cylinder. This theory is nothing but matrix string theory and is known to be equivalent to type IIA string theory. As a result, we find the manner to take the large N limit in the IIB matrix model.

scholarly journals Path integral approach to two-dimensional QCD in the light-front frame

1994 ◽  
Vol 49 (10) ◽  
pp. 5621-5624 ◽  
Author(s):  
P. Gaete ◽  
J. Gamboa ◽  
I. Schmidt
Keyword(s):  
Path Integral ◽  
Light Front ◽  
Integral Approach ◽  
Two Dimensional ◽  
Path Integral Approach
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