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Yang-Mills Theory

by Qubix
Tags: theory, yangmills
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Qubix
#1
Jan25-14, 12:30 PM
P: 76
What exactly is a Yang-Mills Theory? Is it a general theory, based on SU(N) symmetry, which can then be applied for particular cases (ElectroWeak, Chromodynamics) ? Is it like a general mathematical model of gauge theory ?
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jedishrfu
#2
Jan25-14, 12:36 PM
P: 3,097
Quote Quote by Qubix View Post
What exactly is a Yang-Mills Theory? Is it a general theory, based on SU(N) symmetry, which can then be applied for particular cases (ElectroWeak, Chromodynamics) ? Is it like a general mathematical model of gauge theory ?
Yes its a gauge theory:

http://en.wikipedia.org/wiki/Yang-Mills_theory
karlzr
#3
Jan29-14, 05:03 PM
P: 86
Not necessarily SU(N). It can also be like SO(N), Sp(N), etc. The idea is we need to introduce gauge fields to keep the theory gauge invariant.

dextercioby
#4
Feb1-14, 03:40 AM
Sci Advisor
HW Helper
P: 11,952
Yang-Mills Theory

The gauge group of the field theory needs to be nonabelian, else it would just be quantum electrodynamics.


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