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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

The numerical technique of discrete light-cone quantization (DLCQ) is applied to a single-fermion truncation of Yukawa theory in four dimensions. The truncated theory is regulated by three Pauli-Villars bosons, which are introduced directly…

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 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

The SDLCQ regularization is known to explicitly preserve supersymmetry in 1+1 dimensions. To test this property in higher dimensions, we consider supersymmetric Yang-Mills theory on R x S^1 x S^1. In particular, we choose one of the compact…

High Energy Physics - Theory · Physics 2007-05-23 Uwe Trittmann

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

In recent years a supersymmetric form of discrete light-cone quantization (hereafter `SDLCQ') has emerged as a very powerful tool for solving supersymmetric field theories. In this scheme, one calculates the light-cone supercharge with…

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

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 apply supersymmetric discrete light-cone quantization (SDLCQ) to the study of supersymmetric Yang-Mills-Chern-Simons (SYM-CS) 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…

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

We consider the 1+1 dimensional N = (8,8) supersymmetric matrix field theory obtained from a dimensional reduction of ten dimensional N = 1 super Yang-Mills. The gauge groups we consider are U(N) and SU(N), where N is finite but arbitrary.…

High Energy Physics - Theory · Physics 2016-08-25 F. Antonuccio , O. Lunin , S. Pinsky , H. -C. Pauli , S. Tsujimaru

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 consider the 1+1 dimensional N = (2,2) supersymmetric matrix model which is obtained by dimensionally reducing N = 1 super Yang-Mills from four to two dimensions. The gauge groups we consider are U(Nc) and SU(Nc), where Nc is finite but…

High Energy Physics - Theory · Physics 2016-08-25 F. Antonuccio , H. C. Pauli , S. Pinsky , S. Tsujimaru

We propose a solution to the problem of renormalizing light-cone Hamiltonian theories while maintaining Lorentz invariance and other symmetries. The method uses generalized Pauli--Villars regulators to render the theory finite. We discuss…

High Energy Physics - Theory · Physics 2009-09-11 S. J. Brodsky , J. R. Hiller , G. McCartor

The techniques of Pauli-Villars regularization and discrete light-cone quantization are combined to analyze Yukawa theory in a single-fermion truncation. A special form of the Lanczos algorithm is constructed for diagonalization of the…

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

We apply Pauli-Villars regularization and discretized light-cone quantization to the nonperturbative solution of (3+1)-dimensional Yukawa theory in a single-fermion truncation. Three heavy scalars, including two with negative norm, are used…

High Energy Physics - Phenomenology · Physics 2009-09-11 S. J. Brodsky , J. R. Hiller , G. McCartor

We consider the 1+1 dimensional supersymmetric matrix field theory obtained from a dimensional reduction of ten dimensional ${\cal N} = 1$ super Yang-Mills, which is a matrix model candidate for non-perturbative Type IIA string theory. The…

High Energy Physics - Theory · Physics 2007-05-23 F. Antonuccio , H. C. Pauli , S. Tsujimaru

We study supersymmetric quantum mechanics on the moduli space of Yang-Mills instantons on R^2 x T^2 and its application to the discrete light-cone quantisation (DLCQ) of N=4 SUSY Yang-Mills. In the presence of a target space magnetic field,…

High Energy Physics - Theory · Physics 2014-12-18 Nick Dorey , Andrew Singleton

We calculate all the 2 to 2 scattering process in Yang-Mills theory in the Light Cone gauge, with the dimensional regulator as the UV regulator. The IR is regulated with a cutoff in $q^+$. It supplements our earlier work, where a Lorentz…

High Energy Physics - Theory · Physics 2008-11-26 Jian Qiu

We consider three dimensional SU(N) N=1 super-Yang-Mills compactified on the space-time R X S^1 X S^1. In particular, we compactify the light-cone coordinate x^- on a light-like circle via DLCQ, and wrap the remaining transverse coordinate…

High Energy Physics - Theory · Physics 2016-08-25 Francesco Antonuccio , Oleg Lunin , Stephen Pinsky

We consider supersymmetric Yang-Mills theory on R x S^1 x S^1. In particular, we choose one of the compact directions to be light-like and another to be space-like. Since the SDLCQ regularization explicitly preserves supersymmetry, this…

High Energy Physics - Theory · Physics 2009-10-31 Paul Haney , John R. Hiller , Oleg Lunin , Stephen Pinsky , Uwe Trittmann
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