Report/Internal Report PUBDB-2017-12735

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The Effect of Statistical Fluctuations on Confinement and on the Vacuum Structure of the $\mathrm{{CP}^{(n-1)}}$ Models



1979

() [10.1016/0550-3213(79)90491-7]
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Report No.: DESY-79-001

Abstract: We study the two-dimensional C P n−1 non-linear σ -models at a finite temperature, T , within the 1/ n expansion. We show that permanent confinement of their fundamental particles is a strictly zero-temperature phenomenon. The quantum statistical fluctuations suppress the non-trivial topological structure of the classical C P n−1 models and consequently the background topological density vanishes at T ≠ 0 for an infinite space “volume”. These models do not depend on the vacuum angle θ at any T ≠ 0.

Keyword(s): FIELD THEORETICAL MODEL: SIGMA ; FIELD THEORY: NONLINEAR ; FIELD THEORY: TWO-DIMENSIONAL ; EXPANSION 1/N ; FIELD THEORY: SU(N) ; CHARGE: TOPOLOGICAL ; EFFECT: STATISTICAL ; FIELD THEORY: VACUUM STATE ; DEPENDENCE: TEMPERATURE ; MODEL: PARTON ; PARTON: CONFINEMENT

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Contributing Institute(s):
  1. DESY Retrocat (DESY(-2012))
Research Program(s):
  1. 899 - ohne Topic (POF3-899) (POF3-899)
Experiment(s):
  1. No specific instrument

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Medline ; Creative Commons Attribution CC BY (No Version) ; DOAJ ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; Ebsco Academic Search ; IF < 5 ; JCR ; NationallizenzNationallizenz ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection
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 Record created 2017-12-04, last modified 2025-08-13



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