非交换场论中的离散化

Q4 Mathematics

Geometry, Integrability and Quantization Pub Date : 2019-01-01 DOI:10.7546/giq-20-2019-65-78

C. Acatrinei

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引用次数: 0

摘要

讨论了由空间非交换性提供的一种离散化方案。在这里选择的表示中，径向坐标是离散的，允许以自然的方式将字段放在晶格上。非交换性被换成了场动力学的可控非局部性，这反过来又允许费米子不受晶格伪制品的影响。我们找到了精确的、无奇点的解，并定义了它们的连续统极限。MSC: 33e20, 39a12, 33c80, 33c45, 05a10

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Discretization in Noncommutative Field Theory

A discretization scheme provided by the noncommutativity of space is reviewed. In the representation chosen here the radial coordinate is rendered discrete, allowing fields to be put on a lattice in a natural way. Noncommutativity is traded for a controllable type of nonlocality of the field dynamics, which in turn allows fermions to be free of lattice artefacts. Exact, singularity-free solutions are found interpreted, and their continuum limit is well-defined. MSC : 33E20, 39A12, 33C80, 33C45, 05A10

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来源期刊

Geometry, Integrability and Quantization Mathematics-Mathematical Physics

CiteScore

0.70

自引率

0.00%

发文量