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We study the gauge fixing of lattice QCD in 2+1 dimensions, in the Hamiltonian formulation. The technique easily generalizes to other theories and dimensions. The Hamiltonian is rewritten in terms of variables which are gauge invariant…

High Energy Physics - Lattice · Physics 2009-10-22 J. B. Bronzan , Timothy E. Vaughan

The light-cone Hamiltonian, incorporating the nonperturbative dynamics of the $q\bar q$ system connected by the string is solved numerically. The spectrum is shown to coincide with that of the center-of-mass Hamiltonian within the accuracy…

High Energy Physics - Phenomenology · Physics 2016-09-06 V. L. Morgunov , V. I. Shevchenko , Yu. A. Simonov

We conjecture that the light-cone Hamiltonian of N=8 Supergravity can be expressed as a quadratic form. We explain why this rewriting is unique to maximally supersymmetric theories. The N=8 quartic interaction vertex is constructed and used…

High Energy Physics - Theory · Physics 2008-11-26 Sudarshan Ananth , Lars Brink , Rainer Heise , Harald G. Svendsen

We investigate consequences of the effective colour-dielectric formulation of lattice gauge theory using the light-cone Hamiltonian formalism with a transverse lattice (hep-ph/9704408). As a quantitative test of this approach, we have…

High Energy Physics - Theory · Physics 2007-05-23 B. van de Sande , S. Dalley

We analyze the residual gauge freedom in gravity, in four dimensions, in the light-cone gauge, in a formulation where unphysical fields are integrated out. By checking the invariance of the light-cone Hamiltonian, we obtain a set of…

High Energy Physics - Theory · Physics 2021-11-24 Sudarshan Ananth , Lars Brink , Sucheta Majumdar

We reinvestigate the kappa-symmetry-fixed Green-Schwarz action in the AdS_5 x S^5 background in a version of the light-cone gauge. In the generalized light-cone gauge, the action has been written in the phase space variables. We convert it…

High Energy Physics - Theory · Physics 2008-11-26 Hiroshi Itoyama , Takeshi Oota , Reiji Yoshioka

The light-front quantization of gauge theories such as QCD in light-cone gauge provides a frame-independent wavefunction representation of relativistic bound states, simple forms for current matrix elements, explicit unitarity, and a…

High Energy Physics - Phenomenology · Physics 2009-09-11 S. J. Brodsky

In type IIB light-cone superstring field theory, the cubic interaction has two pieces: a delta-functional overlap and an operator inserted at the interaction point. In this paper we extend our earlier work hep-th/0204146 by computing the…

High Energy Physics - Theory · Physics 2010-02-03 Marcus Spradlin , Anastasia Volovich

The Hamiltonians of $SU(2)$ and $SU(3)$ gauge theories in 3+1 dimensions can be expressed in terms of gauge invariant spatial geometric variables, i.e., metrics, connections and curvature tensors which are simple local functions of the…

High Energy Physics - Theory · Physics 2009-10-28 Daniel Z. Freedman

After recalling a general non-perturbative expression for the luminosity-redshift relation holding in a recently proposed "geodesic light-cone" gauge, we show how it can be transformed to phenomenologically more convenient gauges in which…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Ido Ben-Dayan , Giovanni Marozzi , Fabien Nugier , Gabriele Veneziano

The light-front (LF) quantization of QCD in light-cone (l.c.) gauge is discussed. The Dirac method is employed to construct the LF Hamiltonian and theory quantized canonically. The Dyson-Wick perturbation theory expansion based on LF-time…

High Energy Physics - Phenomenology · Physics 2017-08-23 Prem P. Srivastava , Stanley J. Brodsky

Light-cone cuts have recently been proposed as a method to reconstruct the conformal metric of a holographic spacetime. We explore how additional information about the bulk geometry gets encoded in the structure of these light-cone cuts. In…

High Energy Physics - Theory · Physics 2018-01-17 Gabriel Trevino

We develop a superfield formalism for N=4 superconformal two-dimensional field theory. A list is presented of minimal free superfields, i.e. of multiplets containing four bosons and four fermions. We show that the super-Poincar\'e algebra…

High Energy Physics - Theory · Physics 2009-02-23 Martin Cederwall , Christian Preitschopf

We perform a light-cone gauge quantization of the Ramond closed spinning string in three spacetime dimensions (3D). The spectrum is Lorentz invariant and identical to that of the 3D Green-Schwarz closed superstring with ${\cal N}=2$…

High Energy Physics - Theory · Physics 2013-06-18 Luca Mezincescu , Alasdair J. Routh , Paul K. Townsend

Considered is the formulation for the superstring action in 6 and 10 dimensions involving supertwistor variables that appropriately generalize 4-dimensional Ferber supertwistors. Equations of motion and kappa-symmetry transformations in…

High Energy Physics - Theory · Physics 2008-11-26 D. V. Uvarov

We consider classical superstrings propagating on AdS_5 x S^5 space-time. We consistently truncate the superstring equations of motion to the so-called su(1|1) sector. By fixing the uniform gauge we show that physical excitations in this…

High Energy Physics - Theory · Physics 2009-11-11 L. F. Alday , G. Arutyunov , S. Frolov

We introduce a new method to include condensates in the light-cone Hamiltonian. By using a Gaussian approximation to the ordinary vacuum in a theory close to the light front, we derive an effective Hamiltonian on the light cone, which has…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. V. Prokhvatilov , H. W. L. Naus , H. --J. Pirner

We analyze the residual gauge freedom in light-cone electromagnetism in four dimensions. The standard boundary conditions involved in the so-called $lc_2$ formalism, which contains only the two physical degrees of freedom, allow for a…

High Energy Physics - Theory · Physics 2023-03-22 Sucheta Majumdar

We investigate in some detail consequences of the effective colour-dielectric formulation of lattice gauge theory using the light-cone Hamiltonian formalism with a transverse lattice. As a quantitative test of this approach, we have…

High Energy Physics - Phenomenology · Physics 2016-08-25 S. Dalley , B. van de Sande

We study systematically the conformal geometry of higher spin bosonic gauge fields in three spacetime dimensions. We recall the definition of the Cotton tensor for higher spins and establish a number of its properties that turn out to be…

High Energy Physics - Theory · Physics 2016-06-28 Marc Henneaux , Sergio Hörtner , Amaury Leonard
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