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 -