Lewandowski, Adrian (2019). Vectorscalar mixing to all orders for an arbitrary gauge model in the generic linear gauge. Nuclear physics B, 943, p. 114622. Elsevier 10.1016/j.nuclphysb.2019.114622

Text
1903.09670.pdf  Submitted Version Available under License Publisher holds Copyright. Download (225kB)  Preview 


Text
1s2.0S0550321319301026main.pdf  Published Version Available under License Creative Commons: Attribution (CCBY). Download (311kB)  Preview 
I give explicit fromulae for full propagators of vector and scalar fields in a generic spin1 gauge model quantized in an arbitrary linear covariant gauge. The propagators, expressed in terms of allorder oneparticleirreducible cor relation functions, have a remarkably simple form because of constraints originating from SlavnovTaylor identities of BecchiRouetStora symmetry. I also determine the behavior of the propagators in the neighborhood of the poles, and give a simple prescription for the coefficients that generalize (to the case with an arbitrary vectorscalar mixing) the standard √Z factors of Lehmann, Symanzik and Zimmermann. So obtained generalized √Z factors, are indispensable to the correct extraction of physical amplitudes from the amputated correlation functions in the presence of mixing.The standard Rξ gauges form a particularly important subclass of gauges considered in this paper. While the treelevel vectorscalar mixing is, by construction, absent in Rξ gauges, it unavoidably reappears at higher orders. Therefore the prescription for the generalized √Z factors given in this paper is directly relevant for the extraction of amplitudes in Rξ gauges.
Item Type: 
Journal Article (Original Article) 

Division/Institute: 
08 Faculty of Science > Institute of Theoretical Physics 10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC) 
UniBE Contributor: 
Lewandowski, Adrian Jerzy 
Subjects: 
500 Science > 530 Physics 
ISSN: 
05503213 
Publisher: 
Elsevier 
Language: 
English 
Submitter: 
Esther Fiechter 
Date Deposited: 
02 Jul 2019 11:14 
Last Modified: 
28 Oct 2019 13:55 
Publisher DOI: 
10.1016/j.nuclphysb.2019.114622 
ArXiv ID: 
1903.09670 
BORIS DOI: 
10.7892/boris.130675 
URI: 
https://boris.unibe.ch/id/eprint/130675 