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4 votes
2 answers
412 views

What does local gauge invariance have to do with locality?

This concept is just being introduced to me in my QFT course, and my instructor mentioned that if a scalar field $\phi$ has $U(1)$ symmetry, then you can make a suitable gauge transformation $\phi \...
physics_fan_123's user avatar
3 votes
0 answers
56 views

Are anyons non local?

Studying anyonic statistics in 2 dimensions, I naturally thought to ask the question of whether anyons are non local, since as we braid one around another, no matter the distance between the two, one ...
pyroscepter's user avatar
4 votes
1 answer
1k views

Hamiltonian lattice gauge theory with physically observable local degrees of freedom

In my answer at What, in simplest terms, is gauge invariance?, I mentioned that in certain contexts there can be a "gauge theory" with a local symmetry that leave the Lagrangian/Hamiltonian invariant ...
tparker's user avatar
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3 votes
1 answer
931 views

Lagrangian gauge theory with physically observable local degrees of freedom

In my answer at What, in simplest terms, is gauge invariance?, I mentioned that in certain contexts there can be a "gauge theory" with a local symmetry that leave the Lagrangian/Hamiltonian invariant ...
tparker's user avatar
  • 48.4k
12 votes
1 answer
509 views

Yang and Mills' (and others') justification for local gauge invariance

In most physics textbooks, local gauge invariance is simply postulated---you start with a global symmetry, e.g. the global phase, then allow it to depend on the spacetime point, make the necessary ...
Jochen's user avatar
  • 121
3 votes
1 answer
252 views

Unconstrained action in Yang-Mills theory

Is there any gauge in which Yang-Mills theory (4d, non-SUSY) can be written as a local action containing only the propagating modes?
Amitabha's user avatar