Large-N limit of the gradient flow in the 2D O(N) nonlinear sigma model

Hiroki Makino, Fumihiko Sugino, Hiroshi Suzuki

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


The gradient flow equation in the 2D O(N) nonlinear sigma model with lattice regularization is solved in the leading order of the 1/N expansion. By using this solution, we analytically compute the thermal expectation value of a lattice energy-momentum tensor defined through the gradient flow. The expectation value reproduces thermodynamic quantities obtained by the standard large-N method. This analysis confirms that the above lattice energy-momentum tensor restores the correct normalization automatically in the continuum limit, in a system with a nonperturbative mass gap.

Original languageEnglish
Article number043B07
JournalProgress of Theoretical and Experimental Physics
Issue number4
Publication statusPublished - 2015

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


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