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Exact Solutions in Quantum Field Theory Under Rotation

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Strongly Interacting Matter under Rotation

Part of the book series: Lecture Notes in Physics ((LNP,volume 987))

Abstract

We discuss the construction and properties of rigidly rotating states for free scalar and fermion fields in quantum field theory. On unbounded Minkowski space-time, we explain why such states do not exist for scalars. For the Dirac field, we are able to construct rotating vacuum and thermal states, for which expectation values can be computed exactly in the massless case. We compare these quantum expectation values with the corresponding quantities derived in relativistic kinetic theory.

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Notes

  1. 1.

    We use the convention that \(\varepsilon ^{\hat{0}\hat{1}\hat{2}\hat{3}} = \varepsilon ^{\hat{t}\hat{\rho }\hat{\phi }\hat{z}} = 1\).

  2. 2.

    Note that, since mesons are bosons, the Fermi–Dirac statistics cannot be strictly applied.

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Acknowledgements

The work of V. E. Ambruş is supported by a grant from the Romanian National Authority for Scientific Research and Innovation, CNCS-UEFISCDI, project number PN-III-P1-1.1-PD-2016-1423. The work of E. Winstanley is supported by the Lancaster-Manchester-Sheffield Consortium for Fundamental Physics under STFC grant ST/P000800/1 and partially supported by the H2020-MSCA-RISE-2017 Grant No. FunFiCO-777740.

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Authors and Affiliations

  1. Department of Physics, West University of Timişoara, Bd. Vasile Pârvan 4, 300223, Timişoara, Romania

    Victor E. Ambruş

  2. Consortium for Fundamental Physics, School of Mathematics and Statistics, University of Sheffield, Hicks Building, Hounsfield Road, Sheffield, S3 7RH, United Kingdom

    Elizabeth Winstanley

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  1. Victor E. Ambruş
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  2. Elizabeth Winstanley
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Correspondence to Elizabeth Winstanley .

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Editors and Affiliations

  1. Dipartimento di Fisica e Astronomia, Universita degli Studi Firenze, Sesto Fiorentino, Italy

    Francesco Becattini

  2. Department of Physics, Indiana University, Bloomington, IN, USA

    Jinfeng Liao

  3. Department of Physics, The Ohio State University, Columbus, OH, USA

    Michael Lisa

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Ambruş, V.E., Winstanley, E. (2021). Exact Solutions in Quantum Field Theory Under Rotation. In: Becattini, F., Liao, J., Lisa, M. (eds) Strongly Interacting Matter under Rotation. Lecture Notes in Physics, vol 987. Springer, Cham. https://doi.org/10.1007/978-3-030-71427-7_4

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