TY - JOUR

T1 - Abelian Fock - Schwinger representation for the quark propagator in external gauge field

AU - Zubkov, M. A.

N1 - Publisher Copyright:
© 2020 The Author

PY - 2020/11/10

Y1 - 2020/11/10

N2 - We develop the Diakonov - Petrov approach to the representation of the non - Abelian Wilson loop in an Abelian form. First of all, we extend this approach to the Abelian representation of the parallel transporter corresponding to the open curve rather than to the closed contour. Next, we extend this representation to the case of the non - compact groups. The obtained expressions allow us to derive the Abelian form of the Schwinger - Fock representation for the quark propagator in an external color gauge field.

AB - We develop the Diakonov - Petrov approach to the representation of the non - Abelian Wilson loop in an Abelian form. First of all, we extend this approach to the Abelian representation of the parallel transporter corresponding to the open curve rather than to the closed contour. Next, we extend this representation to the case of the non - compact groups. The obtained expressions allow us to derive the Abelian form of the Schwinger - Fock representation for the quark propagator in an external color gauge field.

UR - http://www.scopus.com/inward/record.url?scp=85092092413&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2020.135811

DO - 10.1016/j.physletb.2020.135811

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AN - SCOPUS:85092092413

SN - 0370-2693

VL - 810

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

M1 - 135811

ER -