Comparing O(N) and SU(N) x SU(N) spin systems in 1 + 1 dimensions to SU(N) gauge theories in 3 + 1 dimensions

Technical Report · Mon Dec 01 00:00:00 EST 1980

DOI:https://doi.org/10.2172/6789708· OSTI ID:6789708

Shigemitsu, J; Kogut, J B; Sinclair, D K

The scale breaking ..lambda.. parameters of the Euclidean and Hamiltonian formulations of the lattice regulated O(N) and SU(N) x SU(N) spin systems in 1 + 1 dimensions were computed in terms of the ..lambda../sub PV/ parameter of the Pauli-Villars regulated continuum models. Using lattice perturbation theory, the renormalized mass gap has been determined in terms of ..lambda../sub PV/ for each model. These results are compared to analogous calculations in SU(N) gauge theories.

• Research Organization: Brown Univ., Providence, RI (USA). Dept. of Physics; Illinois Univ., Urbana (USA). Dept. of Physics
• Sponsoring Organization: USDOE
• DOE Contract Number: AC02-76ER03130
• OSTI ID: 6789708
• Report Number(s): DOE/ER/03130-T1; TRN: 81-007926
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
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ANGULAR MOMENTUM
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645400* - High Energy Physics- Field Theory