6533b872fe1ef96bd12d433d

RESEARCH PRODUCT

About the realization of chiral symmetry in QCD2

V. VentoA. Ferrando

subject

PhysicsQuarkQuantum chromodynamicsParticle physicsPhysics and Astronomy (miscellaneous)MesonHigh Energy Physics::LatticeHigh Energy Physics::PhenomenologySpectrum (functional analysis)FOS: Physical sciencesFísicaParity (physics)BaryonMassless particleHigh Energy Physics - PhenomenologyTheoretical physicsHigh Energy Physics - Phenomenology (hep-ph)Engineering (miscellaneous)Realization (systems)

description

Two dimensional massless Quantum Chromodynamics presents many features which resemble those of the true theory. In particular the spectrum consists of mesons and baryons arranged in flavor multiplets without parity doubling. We analyze the implications of chiral symmetry, which is not spontaneously broken in two dimensions, in the spectrum and in the quark condensate. We study how parity doubling, an awaited consequence of Coleman's theorem, is avoided due to the dimensionality of space-time and confinement. We prove that a chiral phase transition is not possible in the theory.

https://doi.org/10.1007/bf01554086