Quantum-classical interactions through the path integral

Metaxas, D

dc.contributor.author	Metaxas, D	en
dc.date.accessioned	2014-03-01T01:26:57Z
dc.date.available	2014-03-01T01:26:57Z
dc.date.issued	2007	en
dc.identifier.issn	1550-7998	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18308
dc.subject	Effective Action	en
dc.subject	Equation of Motion	en
dc.subject	Gauge Field	en
dc.subject	Gauge Theory	en
dc.subject	lagrange multiplier	en
dc.subject	Path Integral	en
dc.subject	Quantum Mechanics	en
dc.subject	Scalar Field	en
dc.subject	Yang Mills	en
dc.subject.classification	Astronomy & Astrophysics	en
dc.subject.classification	Physics, Particles & Fields	en
dc.subject.other	COULOMB GAUGE	en
dc.subject.other	CONFINEMENT	en
dc.subject.other	QCD	en
dc.subject.other	VACUUM	en
dc.subject.other	QUARKS	en
dc.title	Quantum-classical interactions through the path integral	en
heal.type	journalArticle	en
heal.identifier.primary	10.1103/PhysRevD.75.065023	en
heal.identifier.secondary	http://dx.doi.org/10.1103/PhysRevD.75.065023	en
heal.identifier.secondary	065023	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	I consider the case of two interacting scalar fields, and ψ, and use the path integral formalism in order to treat the first classically and the second quantum-mechanically. I derive the Feynman rules and the resulting equation of motion for the classical field which should be an improvement of the usual semiclassical procedure. As an application I use this method in order to enforce Gauss's law as a classical equation in a non-Abelian gauge theory. I argue that the theory is renormalizable and equivalent to the usual Yang-Mills theory as far as the gauge field terms are concerned. There are additional terms in the effective action that depend on the Lagrange multiplier field λ that is used to enforce the constraint. These terms and their relation to the confining properties of the theory are discussed. © 2007 The American Physical Society.	en
heal.publisher	AMERICAN PHYSICAL SOC	en
heal.journalName	Physical Review D - Particles, Fields, Gravitation and Cosmology	en
dc.identifier.doi	10.1103/PhysRevD.75.065023	en
dc.identifier.isi	ISI:000245333600091	en
dc.identifier.volume	75	en
dc.identifier.issue	6	en