| Home > Publications database > The Effect of Statistical Fluctuations on Confinement and on the Vacuum Structure of the $\mathrm{{CP}^{(n-1)}}$ Models |
| Report/Internal Report | PUBDB-2017-12735 |
1979
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Please use a persistent id in citations: doi:10.1016/0550-3213(79)90491-7
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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