Modular Hamiltonian for Fermions of Small Mass

IF 1.3 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Annales Henri Poincaré Pub Date : 2024-12-05 DOI:10.1007/s00023-024-01508-0

Daniela Cadamuro, Markus B. Fröb, Christoph Minz

引用次数: 0

Abstract

We consider the algebra of massive fermions restricted to a diamond in two-dimensional Minkowski spacetime, and in the Minkowski vacuum state. While the massless modular Hamiltonian is known for this setting, the derivation of the massive one is an open problem. We compute the small-mass corrections to the modular Hamiltonian in a perturbative approach, finding some terms which were previously overlooked. Our approach can in principle be extended to all orders in the mass, even though it becomes computationally challenging.

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小质量费米子的模哈密顿量

我们考虑了在二维闵可夫斯基时空和闵可夫斯基真空状态下被限制在菱形上的大质量费米子的代数。虽然无质量模哈密顿量在这种情况下是已知的，但有质量模哈密顿量的推导是一个开放的问题。我们用微扰方法计算模哈密顿量的小质量修正，找到一些以前被忽略的项。我们的方法原则上可以扩展到质量的所有阶，即使它在计算上变得具有挑战性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annales Henri Poincaré 物理-物理：粒子与场物理

CiteScore

3.00

自引率

6.70%

发文量

108

审稿时长

6-12 weeks

期刊介绍： The two journals Annales de l''Institut Henri Poincaré, physique théorique and Helvetica Physical Acta merged into a single new journal under the name Annales Henri Poincaré - A Journal of Theoretical and Mathematical Physics edited jointly by the Institut Henri Poincaré and by the Swiss Physical Society. The goal of the journal is to serve the international scientific community in theoretical and mathematical physics by collecting and publishing original research papers meeting the highest professional standards in the field. The emphasis will be on analytical theoretical and mathematical physics in a broad sense.