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The Discrete Light-Cone Quantization (DLCQ) of a supersymmetric gauge theory in 1+1 dimensions is discussed, with particular attention given to the inclusion of the gauge zero mode. Interestingly, the notorious `zero-mode' problem is now…

High Energy Physics - Theory · Physics 2007-05-23 F. Antonuccio , S. Pinsky , S. Tsujimaru

The Discrete Light-Cone Quantization (DLCQ) of a supersymmetric SU(N) gauge theory in 1+1 dimensions is discussed, with particular emphasis given to the inclusion of all dynamical zero modes. Interestingly, the notorious `zero-mode problem'…

High Energy Physics - Theory · Physics 2009-10-31 F. Antonuccio , O. Lunin , S. Pinsky , S. Tsujimaru

A series of lectures are given to discuss the zero-mode problem on the light-front (LF) quantization with special emphasis on the peculiar realization of the trivial vacuum, the spontaneous symmetry breaking (SSB) and the Lorentz…

High Energy Physics - Theory · Physics 2007-05-23 Koichi Yamawaki

Modes with zero longitudinal light-front momentum (zero modes) do have roles to play in the analysis of light-front field theories. These range from improvements in convergence for numerical calculations to implications for the light-front…

High Energy Physics - Theory · Physics 2025-06-18 S. S. Chabysheva , J. R. Hiller

Motivated by the work of Kalloniatis, Pauli and Pinsky, we consider the theory of light-cone quantized $QCD_{1+1}$ on a spatial circle with periodic and anti-periodic boundary conditions on the gluon and quark fields respectively. This…

High Energy Physics - Theory · Physics 2016-08-24 Motoi Tachibana

Discretized light-cone quantization of (3+1)-dimensional electrodynamics is discussed, with careful attention paid to the interplay between gauge choice and boundary conditions. In the zero longitudinal momentum sector of the theory a…

High Energy Physics - Theory · Physics 2014-11-18 Alex C. Kalloniatis , David G. Robertson

We study the role of bosonic zero modes in light-cone quantisation on the invariant mass spectrum for the simplified setting of two-dimensional SU(2) Yang-Mills theory coupled to massive scalar adjoint matter. Specifically, we use…

High Energy Physics - Theory · Physics 2009-10-31 A. S. Mueller , A. C. Kalloniatis , H. -C. Pauli

The method of discrete light-cone quantization (DLCQ) and useful refinements are summarized. Applications to various field theories are reviewed.

High Energy Physics - Phenomenology · Physics 2009-10-31 J. R. Hiller

In these lectures we discuss the application of discrete light cone quantization (DLCQ) to supersymmetric field theories. We will see that it is possible to formulate DLCQ so that supersymmetry is exactly preserved in the discrete…

High Energy Physics - Theory · Physics 2010-12-13 O. Lunin , S. Pinsky

The light-front coupled-cluster (LFCC) method is a technique for solving Hamiltonian eigenvalue problems in light-front-quantized field theories. Its primary purpose is to provide a systematic sequence of solvable approximations to the…

High Energy Physics - Phenomenology · Physics 2013-10-03 S. S. Chabysheva , J. R. Hiller

In this talk we describe the application of discrete light cone quantization (DLCQ) to supersymmetric field theories. We find that it is possible to formulate DLCQ so that supersymmetry is exactly preserved in the discrete approximation and…

High Energy Physics - Theory · Physics 2007-05-23 SDLCQ Collaboration , F. Antonuccio , I. Filippov , P. Haney , O. Lunin , S. Pinsky , U. Trittmann , J. Hiller

We discuss the discrete light-cone quantization (DLCQ) of a scalar field theory on the maximally supersymmetric pp-wave background in ten dimensions. It has been shown that the DLCQ can be carried out in the same way as in the…

High Energy Physics - Theory · Physics 2010-04-05 Kunihito Uzawa , Kentaroh Yoshida

We consider light-cone quantized ${\rm{QCD}}_{1+1}$ on a `cylinder' with periodic boundary conditions on the gluon fields. This is the framework of discretized light-cone quantization. We review the argument that the light-cone gauge…

High Energy Physics - Theory · Physics 2009-10-28 Alex C. Kalloniatis , Hans-Christian Pauli , Stephen Pinsky

Recently \REF\dk{Simon Dalley and Igor Klebanov,'Light Cone Quantization of the $c=2$ Matrix Model', PUPT-1333, hepth@xxx/920705} \refend Dalley and Klebanov proposed a light-cone quantized study of the $c=2$ matrix model, but which ignores…

High Energy Physics - Theory · Physics 2011-07-19 Ovid C. Jacob

We study the zero mode and the spontaneous symmetry breaking on the light front (LF). We use the discretized light-cone quantization (DLCQ) of Maskawa-Yamawaki to treat the zero mode in a clean separation from all other modes. It is then…

High Energy Physics - Theory · Physics 2009-10-30 S. Tsujimaru , K. Yamawaki

We find that the zero mode($q^{+}=0$ mode of a continuum theory) contribution is crucial to obtain the correct values of the light-front current $J^{-}$ in the Drell-Yan($q^{+}=0$) frame. In the exactly solvable model of (1+1)-dimensional…

High Energy Physics - Phenomenology · Physics 2009-10-31 Ho-Meoyng Choi , Chueng-Ryong Ji

We discuss the spontaneous symmetry breaking (SSB) on the light front (LF) in view of the zero mode. We first demonstrate impossibility to remove the zero mode in the continuum LF theory by two examples: The Lorentz invariance forbids even…

High Energy Physics - Theory · Physics 2008-02-03 Koichi Yamawaki

We investigate the influence of the fermion field boundary conditions on the spectrum and wavefunctions of QED$_{1+1}$ in the Discretized Light-Cone Quantization formalism suggested by Pauli and Brodsky. The basic lesson is that one Fourier…

High Energy Physics - Theory · Physics 2007-05-23 Stephan Elser

Four-dimensional heavy-fermion QED is studied in light-cone coordinates with (anti-)periodic field boundary conditions. We carry out a consistent light-cone canonical quantization of this model using the Dirac algorithm for a system with…

High Energy Physics - Phenomenology · Physics 2009-10-22 Robert W. Brown , Jin Woo Jun , Shmaryu M. Shvartsman , Cyrus C. Taylor

Issues related with microcausality violation and continuum limit in the context of (1+1) dimensional scalar field theory in discretized light-cone quantization (DLCQ) are addressed in parallel with discretized equal time quantization (DETQ)…

High Energy Physics - Theory · Physics 2009-10-31 Dipankar Chakrabarti , Asmita Mukherjee , Rajen Kundu , A. Harindranath
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