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For questions where the dynamical variables are fields, that is, functions of several variables (typically, one time coordinate and several space coordinates). Comprises both classical field theory and quantum field theory. Use this tag when the question applies to both classical and quantum phenomena. Otherwise, use the specific tag instead.

1 vote
1 answer
224 views

Raising and lowering indices in quantum field theory

Is raising and lowering indices in quantum field theory works the same as in the general theory of relativity? By means of this metric tensor? $$g^{μν}= \begin{pmatrix} 1 & 0 & 0 & 0\\ 0 & -1 & 0 …
Peter's user avatar
  • 357
6 votes
1 answer
513 views

Lattice spacing in lattice QCD

It is known that the lattice spacing in lattice QCD is not an external parameter and needs to be calculated, also the lattice beta parameter scales the lattice spacing ($a$) and goes as a function of …
Peter's user avatar
  • 357
1 vote
1 answer
1k views

Yukawa matrices

It is known that the masses of fermions in the Standard Model are represented in the form of singular values of complex Yukawa matrices (Yukawa couplings). The question is, are the values of the masse …
Peter's user avatar
  • 357
1 vote
2 answers
141 views

Number of free parameters in $SU(5)$ GUT model

Lately, I have been studying the potential of scalar fields in this theory. In general, what is the point of this GUT if, there, more free parameters have been added? The standard Higgs potential in t …
Peter's user avatar
  • 357
2 votes
1 answer
716 views

What does $SU(2)\times U(1)$ really mean?

I know that $SU(2)\times U(1)$ is the product of each element of $SU(2)$ by an element of $U(1)$. But looking at the Lagrangian, such a product exists only in covariant derivatives of Higgs or fermion …
Peter's user avatar
  • 357
0 votes
1 answer
241 views

Hypercharge of the complex scalar doublet

I often see the complex scalar doublet $Φ_A$, $A=1,2$ with the opposite hypercharge arising in the Yukawa couplings as $\tildeΦ_A = iτ{_2}_{AB}Φ_B^*$ where $τ_r$ $(r=1,2,3)$ denote isospin pauli matr …
Peter's user avatar
  • 357