Path-integral bosonization in topologically nontrivial sectors: The non-Abelian case

Journal Article · Wed May 15 04:00:00 EDT 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.43.3508· OSTI ID:5537841

Cabra, D; Manias, M V ^[1]; Schaposnik, F A ^[2]; Trobo, M ^[3]

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1. Departamento de Fisica, Universidad Nacional de La Plata, CC 67, 1900 La Plata, Argentina (AR) Consejo Nacional de Investigaciones Cientificas y Tecnicas, Argentina (AR)
2. Laboratoire de Physique Theorique Particules Elementaires, Universite de Paris 7, Tour 24-5 et., 2 Place Jussieu, 75251 Paris CEDEX 05, France (FR) Departamento de Fisica, Universidad Nacional de La Plata, CC67 1900 La Plata, Argentina (AR) Comision de Investigaciones Cientificas Buenos Aires (CICBA), Buenos Aires, Argentina (AR)
3. Departamento de Fisica, Universidad Nacional de La Plata, CC 67, 1900 La Plata, Argentina Consejo Nacional de Investigaciones Cientificas y Tecnicas, Argentina (AR)

We present a path-integral bosonization approach which allows us to take into account nontrivial topological sectors in two-dimensional models such as two-dimensional QCD. Because of the existence of fermionic zero modes, the partition function receives a contribution only from the topologically trivial ({ital n}=0) sector. However, certain fermionic correlation functions (constructed from chiral-charge-nonconserving operators) become nonvanishing when one takes into account {ital n}{ne}0 sectors.

• OSTI ID: 5537841
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 43:10; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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