TY - JOUR

T1 - Non-abelian chiral bosons coupled to gauge field

AU - Oz, Yaron

N1 - Funding Information:
Work supported in part by the (~sterreichische Nationalbank Jubil~iumsfundsprojekt No. 3485. Bitnet address: Phr82yo@Technion. ~1 In this letter we use a convention of gamma matrices, such that ~L = ~L(X+), which is different from the convention used previously \[9\].T he reason is that we want left-handed chiral fermions to correspond to left movers chiral bosons.

PY - 1990/8/16

Y1 - 1990/8/16

N2 - By imposing constraints on the phase space of the bosonic description of N Dirac fermions, chirally coupled to a U(N) gauge field in two dimensions, we construct a natural coupling of non-abelian chiral bosons to a gauge field. Analysing the constraints structure of the theory we show that non-abelian chiral bosons coupled to a gauge field may be viewed as a gauge fixed version of a gauge invariant theory. Using the hamiltonian BRST formalism we quantize the theory and derive a unitarity restriction.

AB - By imposing constraints on the phase space of the bosonic description of N Dirac fermions, chirally coupled to a U(N) gauge field in two dimensions, we construct a natural coupling of non-abelian chiral bosons to a gauge field. Analysing the constraints structure of the theory we show that non-abelian chiral bosons coupled to a gauge field may be viewed as a gauge fixed version of a gauge invariant theory. Using the hamiltonian BRST formalism we quantize the theory and derive a unitarity restriction.

UR - http://www.scopus.com/inward/record.url?scp=13644263171&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(90)90680-5

DO - 10.1016/0370-2693(90)90680-5

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AN - SCOPUS:13644263171

SN - 0370-2693

VL - 245

SP - 497

EP - 502

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 3-4

ER -