## Abstract

For the fermion field in the two-dimensional Gross-Neveu model, we introduce a flow equation that allows a simple 1/N expansion. By employing the 1/N expansion, we examine the validity of a universal formula for the energy-momentum tensor which is based on the small flow-time expansion.We confirm that the formula reproduces a correct normalization and the conservation law of the energy-momentum tensor by computing the translation Ward-Takahashi relation in the leading non-trivial order in the 1/N expansion. Also, we confirmthat the expectation value at finite temperature correctly reproduces thermodynamic quantities. These observations support the validity of a similar construction of the energy-momentum tensor via the gradient/Wilson flow in lattice gauge theory.

Original language | English |
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Article number | 043B04 |

Journal | Progress of Theoretical and Experimental Physics |

Volume | 2015 |

Issue number | 4 |

DOIs | |

Publication status | Published - 2015 |

## All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)