From 42f582de1e5eb8eace938e9390ad470f7b3d2864 Mon Sep 17 00:00:00 2001 From: Ian Jauslin Date: Mon, 19 Oct 2015 14:10:46 +0000 Subject: Fix typo --- Giuliani_Jauslin_2015.tex | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/Giuliani_Jauslin_2015.tex b/Giuliani_Jauslin_2015.tex index 7bb2d93..3b08656 100644 --- a/Giuliani_Jauslin_2015.tex +++ b/Giuliani_Jauslin_2015.tex @@ -233,7 +233,7 @@ in which $\gamma_4$ and $\Delta$ are negligible, and the Fermi surface is approx \par \bigskip -{\bf Remark:} If $\gamma_4=\Delta0$, then the error term $O(\epsilon^{4}\|\mathbf k'_{j}\|_{\mathrm{III}}^{-1})$ in (\ref{freeschwinth}) vanishes identically, which allows us to extend the third regime to all momenta satisfying +{\bf Remark:} If $\gamma_4=\Delta=0$, then the error term $O(\epsilon^{4}\|\mathbf k'_{j}\|_{\mathrm{III}}^{-1})$ in (\ref{freeschwinth}) vanishes identically, which allows us to extend the third regime to all momenta satisfying $$\|\mathbf k'_{j}\|_{\mathrm{III}}\ll\epsilon^3.$$ @@ -505,7 +505,7 @@ and complete the proofs of the Main Theorem, as well as of Theorems \ref{theoo}, \section{The model} \label{themodelsec} -\hfil\framebox{\bf From this point on, we set $\gamma_4=\Delta0$.} +\hfil\framebox{\bf From this point on, we set $\gamma_4=\Delta=0$.} \bigskip \indent In this section, we define the model in precise terms, re-express the free energy and two-point Schwinger function in terms of Grassmann integrals and truncated expectations, which we will subsequently explain how to compute, and discuss the symmetries of the model and their representation in this formalism.\par -- cgit v1.2.3-54-g00ecf