# 2014 CAP Congress / Congrès de l'ACP 2014

15-20 June 2014
Laurentian University / Université Laurentienne
America/Toronto timezone
Welcome to the 2014 CAP Congress! / Bienvenue au congrès de l'ACP 2014!

## Perturbative non-Fermi liquids from dimensional regularization

18 Jun 2014, 09:30
15m
C-204 (Laurentian University / Université Laurentienne)

### C-204

#### Laurentian University / Université Laurentienne

Sudbury, Ontario
Oral (Non-Student) / orale (non-étudiant) Theoretical Physics / Physique théorique (DTP-DPT)

### Speaker

Denis Dalidovich (P)

### Description

A dimensional regularization scheme for quantum field theories with Fermi surface is proposed to study scaling behaviour of non-Fermi liquid states in a controlled approximation. Starting from a Fermi surface in two space dimensions, the co-dimension of Fermi surface is extended to a general value while the dimension of Fermi surface is fixed. When Fermi surface is coupled with a critical boson centred at zero momentum, the interaction becomes marginal at a critical space dimension $d_c=5/2$. A deviation from the critical dimension is used as a small parameter for a systematic expansion. This method is applied to the theory where two patches of Fermi surface are coupled with a critical boson, and it is shown that the Ising-nematic critical point is described by a stable non-Fermi liquid state slightly below the critical dimension. Critical exponents are computed up to the two-loop order.

 Slides