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A new approach to instanton calculations in the O(3) nonlinear {sigma}-model

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Abstract

We construct all instantons in the O(3) {sigma}-model on a cylindrical space-time, known not to exist on a finite time interval. The scale parameter, {rho}, is related to the boundary condition in time. This may cure the {rho}{yields}0 divergent instanton gas, through a proper inclusion of in and out states in the path integral. ((orig.)).
Authors:
Snippe, J; [1]  Baal, P van [1] 
  1. Leiden Univ. (Netherlands). Inst. Lorentz for Theor. Phys.
Publication Date:
Apr 01, 1995
DOI:
https://doi.org/10.1016/0920-5632(95)00380-R
Product Type:
Journal Article
Report Number:
CONF-9409269-
Reference Number:
SCA: 662110; PA: AIX-26:064357; EDB-95:132477; SN: 95001458372
Resource Relation:
Journal Name: Nuclear Physics B, Proceedings Supplements; Journal Volume: 42; Conference: Lattice `94, Bielefeld (Germany), 25 Sep - 1 Oct 1994; Other Information: PBD: Apr 1995
Subject:
66 PHYSICS; SIGMA MODEL; INSTANTONS; ACTION INTEGRAL; ANALYTICAL SOLUTION; BOSE-EINSTEIN GAS; BOUNDARY CONDITIONS; CYLINDRICAL CONFIGURATION; FEYNMAN PATH INTEGRAL; FIELD EQUATIONS; LAGRANGE EQUATIONS; LAGRANGIAN FIELD THEORY; NONLINEAR PROBLEMS; O GROUPS; SCALING LAWS; SEMICLASSICAL APPROXIMATION; SPACE-TIME
OSTI ID:
101051
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: NPBSE7; ISSN 0920-5632; TRN: NL95FF400064357
Submitting Site:
NLN
Size:
pp. 779-781
Announcement Date:
Oct 05, 1995

Journal Article:

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Citation Formats

Snippe, J, and Baal, P van. A new approach to instanton calculations in the O(3) nonlinear {sigma}-model. Netherlands: N. p., 1995. Web. doi:10.1016/0920-5632(95)00380-R.
Snippe, J, & Baal, P van. A new approach to instanton calculations in the O(3) nonlinear {sigma}-model. Netherlands. https://doi.org/10.1016/0920-5632(95)00380-R
Snippe, J, and Baal, P van. 1995. "A new approach to instanton calculations in the O(3) nonlinear {sigma}-model." Netherlands. https://doi.org/10.1016/0920-5632(95)00380-R.
@misc{etde_101051,
title = {A new approach to instanton calculations in the O(3) nonlinear {sigma}-model}
 author = {Snippe, J, and Baal, P van}
 abstractNote = {We construct all instantons in the O(3) {sigma}-model on a cylindrical space-time, known not to exist on a finite time interval. The scale parameter, {rho}, is related to the boundary condition in time. This may cure the {rho}{yields}0 divergent instanton gas, through a proper inclusion of in and out states in the path integral. ((orig.)).}
 doi = {10.1016/0920-5632(95)00380-R}
 journal = []
 volume = {42}
 journal type = {AC}
 place = {Netherlands}
 year = {1995}
 month = {Apr}
 }