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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 …
SaMaSo's user avatar
  • 518
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 …
SaMaSo's user avatar
  • 518
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) …
SaMaSo's user avatar
  • 518
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 …
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  • 518