费米子无质量模哈密顿量

IF 2.2 1区物理与天体物理 Q1 PHYSICS, MATHEMATICAL

Communications in Mathematical Physics Pub Date : 2025-03-05 DOI:10.1007/s00220-025-05253-1

Francesca La Piana, Gerardo Morsella

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引用次数: 0

摘要

我们提供了与单位双锥相关的von Neumann代数的模哈密顿量的显式表达式，用于（费米子）量子场论的2分量Weyl（螺旋度1/2）场和4分量Dirac和Majorana场。为此，我们用相应的波动方程的解来表示这些理论的单粒子空间，并得到模群对它们的作用。作为一个应用，我们计算了无质量马约拉纳场的真空与空间单位球中柯西数据与波相关的一个粒子态之间的相对熵。

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The Fermionic Massless Modular Hamiltonian

We provide an explicit expression for the modular hamiltonian of the von Neumann algebras associated to the unit double cone for the (fermionic) quantum field theories of the 2-component Weyl (helicity 1/2) field, and of the 4-component massless Dirac and Majorana fields. To this end, we represent the one particle spaces of these theories in terms of solutions of the corresponding wave equations, and obtain the action of the modular group on them. As an application, we compute the relative entropy between the vacuum of the massless Majorana field and one particle states associated to waves with Cauchy data localized in the spatial unit ball.

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来源期刊

Communications in Mathematical Physics 物理-物理：数学物理

CiteScore

4.70

自引率

8.30%

发文量

226

审稿时长

3-6 weeks

期刊介绍： The mission of Communications in Mathematical Physics is to offer a high forum for works which are motivated by the vision and the challenges of modern physics and which at the same time meet the highest mathematical standards.