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1 vote
1 answer
53 views

Reference request: scalar $O(N)$ gauge theory

I am interested in scalar $O(N)$ gauge theory and what you can do with it. Is there a standard reference section in a textbook/monograph/paper/whatever that has a decent overview? Wikipedia has a ...
2 votes
0 answers
58 views

Gauge Theory: Mathematics + Physics [duplicate]

I'm interested in learning mathematical gauge theory, particularly its applications in physics, focusing on (topological) quantum field theory with an emphasis on condensed matter. I'm looking for ...
0 votes
1 answer
47 views

Seeking references for giving geometrical interpretations of electromagnetism and the nuclear forces

From this thread, we have the following comment: To further blur the line, it is possible to give geometrical interpretations of electromagnetism and the nuclear forces, such that they appear to be ...
0 votes
0 answers
26 views

Resources for Faddeev-Popov method. (Specifically for diffeomorphism gauge fixing.)

I am struggling to get the same result as this paper (eq. 3.10) for my ghost field when gauge-fixing diffeomorphisms in linearized gravity. I would appreciate it if someone could point me in the ...
2 votes
0 answers
40 views

Mathematical references for gauge theory in condensed matter physics

I am currently trying to go through some literature on the classification of symmetry protected topological phases. Primarily, I am interested in the classical of topological phases using mathematical ...
1 vote
0 answers
32 views

A reference request on fundamental modular domains in the context of Gribov ambiguity

I see that there are some references in the post PE on the Gribov ambiguity. However, resolution of this ambiguity, as stated in wiki, is to find the fundamental modular region (FMR). I looked into ...
0 votes
0 answers
56 views

$\mathbb Z_N$ (discrete) gauge theory

I am currently trying to go through some literature on symmetry protected topological phases and gauge theories defined on lattices. I am looking for a mathematically precise reference that discusses $...
1 vote
0 answers
50 views

Bibliography for the Quantization of the free electromagnetic field with the Lorenz gauge

Recently I have been studying QFT and when I arrived at the Gauge theory I learned that one can quantize the electromagnetic field with the Coulomb gauge and the Lorenz gauge. Regarding the Coulomb, I ...
3 votes
0 answers
94 views

Characteristic classes and index theorems for physicists

Since characteristic classes and index theorems are occasionally used in quantum field theory (for example, when discussing instantons or quantum anomalies), I want to learn more about them. Is there ...
1 vote
0 answers
39 views

Reference for dual gauge field and magnetic field being canonically conjugate

The gauge field operator in quantum Yang-Mills is canonically conjugate to the electric field. I know that the dual gauge field is canonically conjugate to the magnetic field, but I can't seem to dig ...
1 vote
0 answers
68 views

Path integral quantization for scalar, spinor, and Yang-Mills gauge fields on a general differentiable manifold?

Most of the recommendations on path integrals on differentiable manifolds I've found here (like Kleinert) focus only on formulating quantum mechanics via path integrals on differentiable manifolds. ...
1 vote
0 answers
124 views

Faddeev-Popov ghost in the Standard-Model

When we quantize $SU(N)$ gauge theories using the path integral formalism, we must introduce Faddeev-Popov ghosts and will appears as scalar fermions coupled to our gauge bosons in the Lagrangian of ...
3 votes
0 answers
118 views

Resource recommendation for Kogut-Susskind Hamiltonian formalism for lattice gauge theory

Recently, quantum simulations for quantum field theories have been a hot topic of research. In these calculations, the lattice calculations are done using the Hamiltonian formalism in contrast to the ...
0 votes
1 answer
91 views

Custodial Symmetries of the standard model

Recently I came across this concept in a paper and would like to know more about it. My problem is that in all the textbooks that I have seen none cover this topic. I would like the communities help ...
0 votes
0 answers
168 views

$SU(3)$ and $SU(3)\times SU(2)\times U(1)$ Symmetry Breaking [duplicate]

For my master's project I was doing spontaneous symmetry breaking in which I covered U(1), SU(2), SU(2)×U(1) symmetry breaking. My supervisor has said that for the project this much is enough. But now ...

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