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Related papers: Discrete Light-Cone Quantization in PP-Wave Backgr…

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Techniques for the field-theoretic calculation of a form factor are described and applied to a dressed-fermion state of a (3+1)-dimensional model Hamiltonian. Discrete light-cone quantization plays the crucial role as the means by which…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. R. Hiller

Light-cone quantization of gauge field theory is considered. With a careful treatment of the relevant degrees of freedom and where they must be initialized, the results obtained in equal-time quantization are recovered, in particular the…

High Energy Physics - Theory · Physics 2010-11-01 Gary McCartor , David G. Robertson

This paper describes a light-cone quantization of a two-dimensional massive scalar field without periodic boundary conditions in order to make the quantization manifestly consistent to causality. For this purpose, the field is decomposed by…

High Energy Physics - Theory · Physics 2007-05-23 Masahiro Maeno

Noncommutative spacetimes are a proposed effective description of the low-energy regime of Quantum Gravity. Defining the microcausality relations of a scalar quantum field theory on the $\kappa$-Minkowski noncommutative spacetime allows us…

High Energy Physics - Theory · Physics 2018-11-05 Flavio Mercati , Matteo Sergola

On any spacelike surface in a lightcone of four dimensional Lorentz-Minkowski space a distinguished smooth function is considered. It is shown how both extrinsic and intrinsic geometry of such a surface is codified by this function. The…

Differential Geometry · Mathematics 2012-02-22 Francisco J. Palomo , Alfonso Romero

In recent years light-cone quantization of quantum field theory has emerged as a promising method for solving problems in the strong coupling regime. This approach has a number of unique features that make it particularly appealing, most…

High Energy Physics - Theory · Physics 2007-05-23 Stephen S. Pinsky

Totally symmetric arbitrary spin fields in AdS space, conformal fields, conformal currents, and shadow fields in flat space are studied. Light-cone formulation for such fields, currents, and shadows is obtained. Use of the Poincare…

High Energy Physics - Theory · Physics 2014-09-02 R. R. Metsaev

Light-cone coordinates and supersymmetric discrete light-cone quantization are used to analyze the thermodynamics of two-dimensional supersymmetric quantum chromodynamics with a Chern-Simons term in the large-N_c approximation. This…

High Energy Physics - Theory · Physics 2017-08-23 J. R. Hiller

We apply supersymmetric discrete light-cone quantization (SDLCQ) to the study of supersymmetric Yang-Mills theory on R x S^1 x S^1. One of the compact directions is chosen to be light-like and the other to be space-like. Since the SDLCQ…

High Energy Physics - Theory · Physics 2009-11-07 J. R. Hiller , S. Pinsky , U. Trittmann

In the light front quantisation scheme initial conditions are usually provided on a single lightlike hyperplane. This, however, is insufficient to yield a unique solution of the field equations. We investigate under which additional…

High Energy Physics - Theory · Physics 2009-10-22 T. Heinzl , E. Werner

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 adapt the compression algorithm of Weinstein, Auerbach, and Chandra from eigenvectors of spin lattice Hamiltonians to eigenvectors of light-front field-theoretic Hamiltonians. The latter are approximated by the standard discrete…

High Energy Physics - Phenomenology · Physics 2013-12-16 Xiao Pu , Sophia S. Chabysheva , John R. Hiller

Recent work on the numerical solution of supersymmetric gauge theories is described. The method used is SDLCQ (supersymmetric discrete light-cone quantization). An application to N=1 supersymmetric Yang-Mills theory in 2+1 dimensions at…

High Energy Physics - Theory · Physics 2017-08-23 J. R. Hiller

We calculate the spectrum of the linearized supergravity around the maximally supersymmetric pp-wave background in eleven dimensions. The resulting spectrum agrees with that of zero-mode Hamiltonian of a supermembrane theory on the pp-wave…

High Energy Physics - Theory · Physics 2008-11-26 Tetsuji Kimura , Kentaroh Yoshida

A formally exact discrete multi-resolution representation of quantum field theory on a light front is presented. The formulation uses an orthonormal basis of compactly supported wavelets to expand the fields restricted to a light front. The…

High Energy Physics - Theory · Physics 2020-05-20 W. N. Polyzou

Recent cosmological observations indicate that the present universe is flat and dark energy dominated. In such a universe, the calculation of the luminosity distance, d_L, involve repeated numerical calculations. In this paper, it is shown…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 T. Wickramasinghe , T. N. Ukwatta

The finite N version of Matrix theory describes M-theory and superstrings in so-called discretized light cone quantization (DLCQ). Its role has been explained for M-theory in 11 dimensions and for type IIA theory. We show novelties which…

High Energy Physics - Theory · Physics 2008-02-03 Lubos Motl , Leonard Susskind

We consider a discrete scalar, quantum field theory based on a cubic 4-dimensional lattice. We mainly investigate a discrete scattering operator $S(x_0,r)$ where $x_0$ and $r$ are positive integers representing time and maximal total…

General Physics · Physics 2022-09-01 Stanley Gudder

It is shown how to calculate simple vacuum diagrams in light-cone quantum field theory. As an application, I consider the one-loop effective potential of phi^4 theory. The standard result is recovered both with and without the inclusion of…

High Energy Physics - Theory · Physics 2007-05-23 Thomas Heinzl

We report on progress in evaluating quantum filed theories with supersymmetric discrete light-cone quantization (SDLCQ). We compare the method to lattice gauge theory and point out its relevance for lattice calculations. As an exciting…

High Energy Physics - Lattice · Physics 2009-11-07 Uwe Trittmann