Compensating strong coupling with large charge

DOI10.1007/JHEP04(2017)059zbMATH Open1378.81099arXiv1610.04495MaRDI QIDQ680668

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Publication date: 23 January 2018

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Abstract: We study some (conformal) field theories with global symmetries in the sector where the value of the global charge $Q$ is large. We find (as expected) that the low energy excitations of this sector are described by the general form of Goldstone's theorem in the non-relativistic regime. We also derive the unexpected result, first presented in [Hellerman et al. 2015], that the effective field theory describing such sector of fixed $Q$ contains effective couplings $lambd{a}_{exteff}simlambd{a}^b/Q^a$, where $lambda$ is the original coupling. Hence, large charge leads to weak coupling. In the last section of the paper we present an outline of how to compute anomalous dimensions of the $O(n)$ model in this limit.

Full work available at URL: https://arxiv.org/abs/1610.04495

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