منابع مشابه
Spin Networks in Gauge Theory
Given a real-analytic manifold M, a compact connected Lie group G and a principal G-bundle P ! M, there is a canonicaìgeneralized measure' on the space A=G of smooth connections on P modulo gauge transformations. This allows one to deene a Hilbert space L 2 (A=G). Here we construct a set of vectors spanning L 2 (A=G). These vectors are described in terms of`spin networks': graphs embedded in M,...
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We prove that the distribution functions of magnetization and spin glass order parameter coincide on the Nishimori line in the phase diagram of the ±J Ising model in any dimension. This implies absence of replica symmetry breaking because the distribution function of magnetization consists only of two delta functions, suggesting the same simple structure for the distribution of spin glass order...
متن کاملGauge Theory for Quantum Spin Glasses
The gauge theory for random spin systems is extended to quantum spin glasses to derive a number of exact and/or rigorous results. The transverse Ising model and the quantum gauge glass are shown to be gauge invariant. For these models, an identity is proved that the expectation value of the gauge invariant operator in the ferromagnetic limit is equal to the one in the classical equilibrium stat...
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We investigate the usefulness of the “string-inspired technique” for gauge theory calculations in a constant external field background. Our approach is based on Strassler’s worldline path integral approach to the Bern-Kosower formalism, and on the construction of worldline (super–) Green’s functions incorporating external fields as well as internal propagators. The worldline path integral repre...
متن کاملUnifying all classical spin models in a lattice gauge theory.
The partition function of all classical spin models, including all discrete standard statistical models and all Abelian discrete lattice gauge theories (LGTs), is expressed as a special instance of the partition function of the 4D Z2 LGT. This unifies all classical spin models with apparently very different features in a single complete model. This result is applied to establish a new method to...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1996
ISSN: 0001-8708
DOI: 10.1006/aima.1996.0012