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High Energy Physics - Theory

arXiv:1805.00549 (hep-th)
[Submitted on 1 May 2018 (v1), last revised 7 Nov 2018 (this version, v2)]

Title:Massive quantum scalar field theory in the presence of moving mirrors

Authors:Lev Astrakhantsev, Oleksandr Diatlyk
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Abstract:We study the 2D massive fields in the presence of moving mirrors. We do that for standing mirror and mirror moving with constant velocity. We calculate the modes and commutation relations of the field operator with the corresponding conjugate momentum in each case. We find that in case of the ideal mirror, which reflects modes with all momenta equally well, the commutation relations do not have their canonical form. However, in the case of non-ideal mirror, which is transparent for the modes with high enough momenta, the commutation relations of the field operator and its conjugate momentum have their canonical form. Then we calculate the free Hamiltonian and the expectation value of the stress-energy tensor in all the listed situations. In the presence of moving mirrors the diagonal form in terms of the creation and annihilation operators has the operator that performs translations along the mirror's world line rather than the one which does translations along the time-line. For the massive fields in the presence of a mirror moving with constant velocity the expectation value of the stress-energy tensor has a non-diagonal contribution which decays with the distance from the mirror.
Comments: Corrected typos
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:1805.00549 [hep-th]
  (or arXiv:1805.00549v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1805.00549
Journal reference: International Journal of Modern Physics A 1 Vol. 33 (2018)
Related DOI: https://doi.org/10.1142/S0217751X18501269

Submission history

From: Lev Astrakhantsev [view email]
[v1] Tue, 1 May 2018 20:52:46 UTC (19 KB)
[v2] Wed, 7 Nov 2018 08:36:04 UTC (19 KB)
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