EQUIVALENCE BETWEEN DIFFERENT CLASSICAL TREATMENTS OF THE O(N) NONLINEAR SIGMA MODEL AND THEIR FUNCTIONAL SCHRÖDINGER EQUATIONS

DOI10.1142/S0217751X03013867zbMath1031.81040arXivhep-th/0201120MaRDI QIDQ4706188

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Publication date: 12 October 2003

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0201120

zbMATH Keywords

factor-orderingfirst-class constrained field theorysecond-class constrained field theory

Mathematics Subject Classification ID

Model quantum field theories (81T10) NLS equations (nonlinear Schrödinger equations) (35Q55) Groups and algebras in quantum theory and relations with integrable systems (81R12) Constrained dynamics, Dirac's theory of constraints (70H45) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (1)

Obtaining gauge invariant actions via symplectic embedding formalism

Cites Work

• Unnamed Item
• Quantisation of \(\text{O}(N)\) invariant nonlinear sigma model in the Batalin-Tyutin formalism
• TheO(N) nonlinear sigma model in the functional Schrödinger picture
• EXISTENCE THEOREM FOR THE EFFECTIVE GAUGE ALGEBRA IN THE GENERALIZED CANONICAL FORMALISM WITH ABELIAN CONVERSION OF SECOND-CLASS CONSTRAINTS
• Quantum mechanics on noncommutative plane and sphere from constrained systems

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