A gauge model for quantum mechanics on a stratified space

DOI10.1007/s00220-008-0693-0zbMath1170.81038arXivhep-th/0702017OpenAlexW3102222847MaRDI QIDQ842413

Matthias Schmidt, Gerd Rudolph, Johannes Huebschmann

Publication date: 25 September 2009

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

Full work available at URL: https://arxiv.org/abs/hep-th/0702017

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on lattices (81T25) Kähler manifolds (32Q15) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Stratified sets (58A35)

Related Items (20)

Defining relations for the orbit type strata of \(\operatorname{SU}(2)\)-lattice gauge models ⋮ Deformation quantization and homological reduction of a lattice gauge model ⋮ Operator-algebraic construction of gauge theories and Jones' actions of Thompson's groups ⋮ The Hilbert space costratification for the orbit type strata of SU(2)-lattice gauge theory ⋮ QCD on an infinite lattice ⋮ Free particles from Brauer algebras in complex matrix models ⋮ Kirillov's character formula, the holomorphic Peter-Weyl theorem, and the Blattner-Kostant-Sternberg pairing ⋮ Singular symplectic cotangent bundle reduction of gauge field theory ⋮ Costratification in terms of coherent states ⋮ Dynamics for QCD on an infinite lattice ⋮ On the reflection type decomposition of the adjoint reduced phase space of a compact semisimple Lie group ⋮ On the algebra of quantum observables for a certain gauge model ⋮ Quantum lattice gauge fields and groupoid \(\mathrm{C}^{\ast}\)-algebras ⋮ On the topology of the reduced classical configuration space of lattice QCD ⋮ Gauge orbit types for theories with gauge group \(O(n)\), \(SO(n)\) or \(Sp(n)\) ⋮ On the gauge orbit types for theories with classical compact gauge group ⋮ A first approximation for quantization of singular spaces ⋮ Equivariant quantization of orbifolds ⋮ Quantization commutes with singular reduction: Cotangent bundles of compact Lie groups ⋮ Quasicharacters, recoupling calculus, and Hamiltonian lattice quantum gauge theory

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