Theta vacua, charge confinement and charged sectors from nonregular representations of CCR algebras

DOI10.1007/BF00739583zbMath0772.46033MaRDI QIDQ1803223

Giovanni Morchio, Fabio Acerbi, Franco Strocchi

Publication date: 29 June 1993

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

many-body theorytheta vacuacharge confinementcharged sectorsnonregular representation of CCR Weyl algebraQFT theory

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of selfadjoint operator algebras to physics (46L60) Commutation relations and statistics as related to quantum mechanics (general) (81S05) States of selfadjoint operator algebras (46L30)

Related Items (10)

Twisted Yangians, Drinfeld approach ⋮ Hadamard states for quantum abelian duality ⋮ Asymptotic morphisms and superselection theory in the scaling limit. II. Analysis of some models ⋮ Orbital angular momentum in phase space ⋮ Gauge invariance and symmetry breaking by topology and energy gap ⋮ The Yangian double of the Lie superalgebra \(A(m,n)\) ⋮ MASSLESS SCALAR FREE FIELD IN 1+1 DIMENSIONS I: WEYL ALGEBRAS PRODUCTS AND SUPERSELECTION SECTORS ⋮ Bosonization at finite temperature and anyon condensation ⋮ Analytic representations with theta functions for systems on ℤ(d) and on 𝕊 ⋮ Interacting massless infraparticles in 1+1 dimensions

Cites Work

• Unnamed Item
• The Schwinger model revisited
• Algebraic fermion bosonization
• Infrared singular fields and nonregular representations of canonical commutation relation algebras
• The current algebra on the circle as a germ of local field theories

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