Heat flow for Yang-Mills-Higgs fields, part I

2000 ◽  
Vol 21 (4) ◽  
pp. 453-472
Author(s):  
Fang Yi ◽  
Hong Minchun
Keyword(s):  
Heat Flow ◽  
Yang Mills ◽  
Higgs Fields

HEAT FLOW FOR YANG-MILLS-HIGGS FIELDS, PART II

2001 ◽  
Vol 22 (02) ◽  
pp. 211-222 ◽  
Author(s):  
FANG YI ◽  
MINCHUN HONG
Keyword(s):  
Heat Flow ◽  
Yang Mills ◽  
Higgs Fields

HEAT FLOW FOR YANG-MILLS-HIGGS FIELDS, PART I

2000 ◽  
Vol 21 (04) ◽  
pp. 453-472 ◽  
Author(s):  
YI FANG ◽  
MINCHUN HONG
Keyword(s):  
Heat Flow ◽  
Yang Mills ◽  
Higgs Fields

scholarly journals The Yang-Mills-Higgs Heat Flow on R3

1993 ◽  
Vol 111 (2) ◽  
pp. 431-448 ◽  
Author(s):  
A. Hassell
Keyword(s):  
Heat Flow ◽  
Yang Mills

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.

scholarly journals Stable blowup for the supercritical Yang–Mills heat flow

2019 ◽  
Vol 113 (1) ◽  
pp. 55-94 ◽  
Author(s):  
Roland Donninger ◽  
Birgit Schörkhuber
Keyword(s):  
Heat Flow ◽  
Yang Mills

Higgs fields as Yang-Mills fields and discrete symmetries

1991 ◽  
Vol 353 (3) ◽  
pp. 689-706 ◽  
Author(s):  
R. Coquereaux ◽  
G. Esposito-Farese ◽  
G. Vaillant
Keyword(s):  
Discrete Symmetries ◽  
Yang Mills ◽  
Higgs Fields
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