All Questions
Tagged with renormalization commutator
5
questions
4
votes
0
answers
107
views
Canonical commutation relation in QFT
The canonical commutation relation in QFT with say one (non-free) scalar real field $\phi$ is
$$[\phi(\vec x,t),\dot \phi(\vec y,t)]=i\hbar\delta^{(3)}(\vec x-\vec y).$$
Is this equation satisfied by ...
- 2,226
4
votes
1
answer
169
views
Where is the Yennie gauge useful in Gupta-Bleuer formalism (or QED in general)?
Consider the Lagrangian of the Gupta-Bleuer formalism given by:
$$\mathcal{L}
=-\frac{1}{4}F^{\mu\nu}F_{\mu\nu}
-\frac{1}{2\xi}(\partial A)^2.$$
I understand the necessity of the gauge fixing term: ...
- 2,126
6
votes
0
answers
142
views
Field strength renormalization constant $Z$
Matrix elements of the interacting real scalar field $\varphi(x)$ differ from the matrix elements of the in-(scalar) fields (which follow the free Klein-Gordon equation and are the asymptotic fields ...
- 9,778
3
votes
0
answers
94
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Are non-covariant Schwinger terms related to the renormalization of composite operators?
In Section 5.5 of Duncan's The Conceptual Framework of Quantum Field Theory, he shows that theories that are not ultra-local has Schwinger terms:
$$
[\mathcal H_\text{int}(\mathbf x_1,t),\mathcal H_\...
- 213
9
votes
2
answers
627
views
Renormalization and canonical commutation relations
My question is whether canonical commutation relations hold for renormalized quantum fields. Below I show reasoning which caused by doubts.
Consider a relativistic scalar QFT. We have spectral ...
- 2,191