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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.
5
votes
2
answers
403
views
Divergent Coulomb integrals in superfluid fluctuations
In Chapter 3 of Kardar's statistical physics of fields, in the context of lower critical dimension, he works out an example about superfluids where starting from the probablity of a particular config …
4
votes
1
answer
1k
views
Yukawa potential in higher dimensions
I am trying to calculate the integral
\begin{align}
E_n(\mathbf{r}) = \int \frac{d^n \mathbf{k}}{(2\pi)^n} \frac{ e^{i\mathbf{k}\cdot\mathbf{r}} }{ \mathbf{k}^2 + m^2 }
\end{align}
for $n > 2$ (the ca …
3
votes
1
answer
862
views
Renormalization group theory, first-order phase transitions, perturbative calculations
Consider a satistical field theory that is defined by the generic free energy (or action, in the case of dynamical theories)
\begin{equation}
F[\phi] = \int_{k,t} a_k |\phi_k|^2 + \mathcal{V}(\phi) …
1
vote
2
answers
201
views
Delta functional representation in response field formalism
A general way of obtaining a field-theoretical description of Langevin dynamics is via the Martin-Siggia-Rose (MSR) response fields. This is essentially just representing the identity - up to some Jac …