Search results for "Sigma Models"

showing 2 items of 2 documents

A non-perturbative study of massive gauge theories

2013

We consider a non-perturbative formulation of an SU(2) massive gauge theory on a space-time lattice, which is also a discretised gauged non-linear chiral model. The lattice model is shown to have an exactly conserved global SU(2) symmetry. If a scaling region for the lattice model exists and the lightest degrees of freedom are spin one vector particles with the same quantum numbers as the conserved current, we argue that the most general effective theory describing their low-energy dynamics must be a massive gauge theory. We present results of a exploratory numerical simulation of the model and find indications for the presence of a scaling region where both a triplet vector and a scalar re…

High Energy Physics - TheoryNuclear and High Energy PhysicsHiggs PhysicsHigh Energy Physics::Latticehep-latFOS: Physical sciences01 natural sciencesTheoretical physicsHigh Energy Physics - LatticeHigh Energy Physics - Phenomenology (hep-ph)Lattice (order)0103 physical sciencesEffective field theoryGauge theory010306 general physicsConserved currentScalingLattice Gauge Field TheoriesPhysics010308 nuclear & particles physicshep-thHigh Energy Physics - Lattice (hep-lat)Físicahep-phQuantum numberHigh Energy Physics - PhenomenologyChiral modelHigh Energy Physics - Theory (hep-th)Gauge SymmetryNon-perturbativeSigma Models
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The Bethe ansatz and the Tzitzéica–Bullough–Dodd equation

2012

The theory of classically integrable nonlinear wave equations, and the Bethe Ansatz systems describing massive quantum field theories defined on an infinite cylinder, are related by an important mathematical correspondence that still lacks a satisfactory physical interpretation. In this paper we shall describe this link for the case of the classical and quantum versions of the (Tzitz\'eica-)Bullough-Dodd model.

High Energy Physics - TheoryPhysicsQuantum PhysicsQuantum sigma modelsIntegrable system010308 nuclear & particles physicsGeneral MathematicsGeneral EngineeringGeneral Physics and AstronomyODE/IM correspondenceQuantum sigma models ODE/IM correspondence01 natural sciencesBethe ansatzNonlinear Sciences::Exactly Solvable and Integrable SystemsNonlinear wave equation0103 physical sciencesCylinderQuantum field theory010306 general physicsMathematical PhysicsMathematical physicsPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
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