Massless rotating fermions inside a cylinder

Abstract

We study rotating thermal states of a massless quantum fermion field inside a cylinder in Minkowski space-time. Two possible boundary conditions for the fermion field on the cylinder are considered: the spectral and MIT bag boundary conditions. If the radius of the cylinder is sufficiently small, rotating thermal expectation values are finite everywhere inside the cylinder. We also study the Casimir divergences on the boundary. The rotating thermal expectation values and the Casimir divergences have different properties depending on the boundary conditions applied at the cylinder. This is due to the local nature of the MIT bag boundary condition, while the spectral boundary condition is nonlocal.Comment: 6 pages, 2 figures, title changed, submitted to the proceedings of the TIM-14 Physics Conference, 20-22 November 2014, Timisoara, Romani

Quantization of fermions on Kerr space-time

“…All the fermion modes defined in Sec. II C have positive norm, independent of the frequency of the mode (the same is true for fermions in rotating Minkowski space-time [40,47]). In other words, for fermion fields, both positive and negative frequency modes have positive norm.…”

“…We have introduced this state solely to aid the interpretation of the state |H in Sec. V. We expect that the state | B will approximate a rigidly rotating vacuum state with the same angular speed as the event horizon, analogous to the fermionic rotating vacuum in flat space [47].…”

“…For a rigidly rotating thermal bath of scalar particles in flat space [51], the quantum state is ill-defined everywhere. The situation for fermions in flat space is rather different [47]. It is possible to define a state in flat space which is regular inside the speedof-light surface S L but diverges on S L (and, presumably, outside S L as well).…”

“…For further comparison with both the scalar and fermion field results for a rigidly rotating thermal bath in flat space-time [47,51] it is helpful to have, for Kerr space-time, an analogue of a 'vacuum' state which is defined within the speed-of-light surface (our candidate 'Boulware' state for Kerr space-time, constructed in Sec. III B, is not helpful in this regard because it is defined with respect to infinity and we suspect that it may not be regular all the way down to the event horizon).…”

Quantum field theory on global anti-de Sitter space-time with Robin boundary conditions

“…QFT on AdS is particularly rich, with a plethora of possibilities to consider. As on any space-time, one can study a variety of bosonic [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] and fermionic [4,11,[17][18][19][20][21][22][23][24] quantum fields, and different quantum states, including static vacuum states [4,6,7,9,11,16,19], static thermal states [2,4,18,20,21] and rotating states [18,25].…”