Search results for "Gamma matrices"

showing 2 items of 2 documents

The γ5-problem and anomalies — A Clifford algebra approach

1990

Abstract It is shown that a strong correspondence between noncyclicity and anomalies exists. This allows, by fundamental properties of Clifford algebras, to build a simple and consistent scheme for treating γ 5 without using ( d −4)-dimensional objects

PhysicsFiltered algebraNuclear and High Energy PhysicsMultivectorPure mathematicsGeometric algebraClassification of Clifford algebrasClifford algebraParavectorGamma matricesClifford analysisPhysics Letters B
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Two-loop Anomalous Dimensions of Heavy Baryon Currents in Heavy Quark Effective Theory

1996

We present results on the two-loop anomalous dimensions of the heavy baryon HQET currents $J=(q^TC\Gamma\tau q)\Gamma'Q$ with arbitrary Dirac matrices $\Gamma$ and $\Gamma'$. From our general result we obtain the two-loop anomalous dimensions for currents with quantum numbers of the ground state heavy baryons $\Lambda_Q$, $\Sigma_Q$ and $\Sigma_Q^*$. As a by-product of our calculation and as an additional check we rederive the known two-loop anomalous dimensions of mesonic scalar, pseudoscalar, vector, axial vector and tensor currents $(J=\bar q\Gamma q)$ in massless QCD as well as in HQET.

Quantum chromodynamicsPhysicsNuclear and High Energy PhysicsParticle physicsComputer Science::Information RetrievalHigh Energy Physics::LatticeQuark modelHigh Energy Physics::PhenomenologyFOS: Physical sciencesVertex functionGamma matricesQuantum numberBaryonPseudoscalarHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics::ExperimentNuclear ExperimentPseudovector
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