Journal ArticleDOI
Functional Integrals for Spin
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TLDR
In this paper, a path integral representation for spin amplitudes is constructed for the unitary rotation matrices and the appropriate set of classical canonical variables and their quantum counterparts are identified, which can be extended to more general systems by using the three-dimensional unitary group.About:
This article is published in Annals of Physics.The article was published on 1989-05-15. It has received 39 citations till now. The article focuses on the topics: Path integral formulation & Unitary group.read more
Citations
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Semi-classical transport theory for non-Abelian plasmas
Daniel F. Litim,Cristina Manuel +1 more
TL;DR: In this paper, a semi-classical transport theory for non-Abelian plasmas based on a classical picture of coloured point particles is presented, which permits the integrating-out of fluctuations in a systematic manner.
Journal ArticleDOI
Classical strongly coupled quark-gluon plasma. I. Model and molecular dynamics simulations
TL;DR: In this paper, a model for the description of strongly interacting quarks and gluon quasiparticles at T=(1-3)T{sub c} as a classical and nonrelativistic colored Coulomb gas was proposed.
Posted Content
Equivariant Localization of Path Integrals
TL;DR: In this article, a detailed review of the relevant mathematical background of equivariant cohomology and the Duistermaat-Heckman theorem for quantization of Feynman path integrals is presented.
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Coherent states, Path integral, and Semiclassical approximation
TL;DR: In this article, it was shown that path integral formulas for SU(2) and SU(1,1) are WKB exact, if it is started from the trace of e−iTĤ, where H is given by a linear combination of generators.
Journal ArticleDOI
Random walks of partons in SU(N(c)) and classical representations of color charges in QCD at small x
Sangyong Jeon,Raju Venugopalan +1 more
TL;DR: In this article, a random walk of partons in the space of the Casimir operators of the color group is formulated as a path integral over the color sources with an exponential weight whose argument is the quadratic Casimir operator.
References
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Journal ArticleDOI
A path integral to quantize spin
TL;DR: In this article, a model for a classical spinning particle, characterized by spin magnitude, arbitrary but fixed, and continuously varying direction, was presented, and the path integral for the model was formulated.