Construction of The Energy–Momentum Tensor in Lattice Gauge Theory: Gradient Flow Method

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Other Title
  • 格子ゲージ理論におけるエネルギー・運動量テンソルの構成:Gradient flowの方法
  • コウシ ゲージ リロン ニ オケル エネルギー ・ ウンドウリョウ テンソル ノ コウセイ : Gradient flow ノ ホウホウ

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Abstract

<p>When we do not use or do not know a regularization that preserves a preferred symmetry, the construction of the Noether current composite operator corresponding to that symmetry is quite non-trivial. Such a situation occurs for the construction of the energy–momentum tensor in lattice gauge theory, because the lattice structure explicitly breaks the translational invariance. In this article, I explain a completely new approach to this problem on the basis of the gradient flow, a certain deformation of the gauge theory along a fictitious time according to diffusion-type equations.</p>

Journal

  • Butsuri

    Butsuri 73 (3), 148-153, 2018-03-05

    The Physical Society of Japan

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