scholarly journals Comment on “Removable singularities for solutions of coupled Yang-Mills-Dirac equations” [J. Math. Phys. 47, 103502 (2006)]

2007 ◽  
Vol 48 (7) ◽  
pp. 074101
Author(s):  
Thomas H. Otway
Keyword(s):  
Yang Mills ◽  
Dirac Equations ◽  
Removable Singularities ◽  
Math Phys

scholarly journals Erratum: Algebraically special Yang‐Mills solutions without sources [J. Math. Phys. 22, 2040 (1981)]

1981 ◽  
Vol 22 (12) ◽  
pp. 3010-3010
Author(s):  
R. O. Fulp ◽  
Paul Sommers ◽  
L. K. Norris
Keyword(s):  
Yang Mills ◽  
Math Phys

scholarly journals Lévy differential operators and Gauge invariant equations for Dirac and Higgs fields

2019 ◽  
Vol 22 (01) ◽  
pp. 1950001 ◽  
Author(s):  
Boris O. Volkov
Keyword(s):  
Differential Operators ◽  
Equations Of Motion ◽  
Parallel Transport ◽  
System Of Differential Equations ◽  
Gauge Invariant ◽  
Yang Mills ◽  
Infinite Dimensional ◽  
Dirac Equations ◽  
Lévy Laplacian ◽  
Higgs Fields

We study the Lévy infinite-dimensional differential operators (differential operators defined by the analogy with the Lévy Laplacian) and their relationship to the Yang–Mills equations. We consider the parallel transport on the space of curves as an infinite-dimensional analogue of chiral fields and show that it is a solution to the system of differential equations if and only if the associated connection is a solution to the Yang–Mills equations. This system is an analogue of the equations of motion of chiral fields and contains the Lévy divergence. The systems of infinite-dimensional equations containing Lévy differential operators, that are equivalent to the Yang–Mills–Higgs equations and the Yang–Mills–Dirac equations (the equations of quantum chromodynamics), are obtained. The equivalence of two ways to define Lévy differential operators is shown.

Dirac equations for generalised Yang-Mills systems

1985 ◽  
Vol 162 (1-3) ◽  
pp. 143-147 ◽  
Author(s):  
O. Lechtenfeld ◽  
W. Nahm ◽  
D.H. Tchrakian
Keyword(s):  
Yang Mills ◽  
Dirac Equations

scholarly journals The Yang–Mills measure in the SU(3)-skein module

2017 ◽  
Vol 26 (11) ◽  
pp. 1750071
Author(s):  
Charles Frohman ◽  
Jianyuan K. Zhong
Keyword(s):  
Complex Number ◽  
Positive Real Number ◽  
Closed Formula ◽  
Positive Real ◽  
Local Diffeomorphism ◽  
Yang Mills ◽  
Skein Module ◽  
Root Of Unity ◽  
Trivalent Graphs ◽  
Math Phys

Let [Formula: see text] be a nonzero complex number which is not a root of unity. Let [Formula: see text] be a compact oriented surface, the [Formula: see text]-skein space of [Formula: see text], [Formula: see text], is the vector space over [Formula: see text] generated by framed oriented links (including framed oriented trivalent graphs in [Formula: see text]) quotient by the [Formula: see text]-skein relations due to Kuperberg [Spiders for rank [Formula: see text] Lie algebra, Comm. Math. Phys. 180(1) (1996) 109–151]. For closed [Formula: see text], with genus greater than [Formula: see text], we construct a local diffeomorphism invariant trace on [Formula: see text] when [Formula: see text] is a positive real number not equal to [Formula: see text].

Sign in / Sign up

Export Citation Format

Share Document