Research ArticleNo Access

Quantization of non-Abelian gauge theory in graphene

Naveed Ahmad Shah

https://orcid.org/0000-0002-0449-7929

Department of Physics, Jamia Millia Islamia, Jamia Nagar, New Delhi 110025, India

E-mail Address: naveed179755@st.jmi.ac.in

Corresponding author.

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and

M. A. H. Ahsan

Department of Physics, Jamia Millia Islamia, Jamia Nagar, New Delhi 110025, India

E-mail Address: mahsan@jmi.ac.in

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https://doi.org/10.1142/S0219887821500481Cited by:1 (Source: Crossref)

Abstract

A time-dependent strain induces non-Abelian gauge field in a sheet of graphene. We discuss the effective field theory of this system of graphene subjected to a general form of time-dependent strain. We study the modifications to this effective field theory as a result of breaking Lorentz symmetry down to its sub-group, $S I M (1)$ , employing the VSR formalism. As the effective theory describing the graphene system has gauge symmetry; to quantize this theory, we add a suitable ghost and gauge fixing terms to the original action. The resultant action is observed to be invariant under a BRST symmetry. We have studied the BRST symmetry of the resultant theory, and explicitly constructed the BRST transformations.

Keywords:

AMSC: 81T13, 81T20

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