26–28 Jul 2023
Department of Physics (University of Coimbra)
Europe/Lisbon timezone

Pseudogauge freedom and the SO(3) algebra of spin operators.

26 Jul 2023, 18:00
2h
Floor D Foyer

Floor D Foyer

Speaker

Sourav Dey (National Institute of Science Education and Research(INDIA))

Description

The energy-momentum and spin tensors for a given theory can be replaced by alternative expressions that obey the same conservation laws for the energy, linear momentum, as well as angular momentum but, however, differ by the local redistribution of such quantities (with global energy, linear momentum, and angular momentum remaining unchanged). This arbitrariness is described in recent literature as the pseudogauge freedom or symmetry. In this letter, we analyze several pseudogauges used to formulate the relativistic hydrodynamics of particles with spin 1/2 and conclude that the canonical version of the spin tensor has an advantage over other forms as only the canonical definition defines the spin operators that fulfil the SO(3) algebra of angular momentum. This result sheds new light on the results encountered in recent papers demonstrating pseudogauge dependence of various physical quantities. It indicates that for spin-polarization observables, the canonical version is fundamentally better suited for building a connection between theory and experiment.

Primary authors

Sourav Dey (National Institute of Science Education and Research(INDIA)) Prof. Wojciech Florkowski (Institute of Theoretical Physics, Jagiellonian University, ul. St. \L ojasiewicza 11, PL-30-348 Krakow, Poland) Dr Amaresh Jaiswal (School of Physical Sciences, National Institute of Science Education and Research, An OCC of Homi Bhabha National Institute, Jatni-752050, India) Dr Radoslaw Ryblewski (Institute of Nuclear Physics Polish Academy of Sciences, PL-31-342 Krakow, Poland)

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