scholarly journals The Hadamard Condition for Dirac Fields and Adiabatic States on Robertson-Walker Spacetimes

2001 ◽  
Vol 216 (3) ◽  
pp. 635-661 ◽  
Author(s):  
Stefan Hollands
Keyword(s):  
Dirac Fields ◽  
Hadamard Condition

Dirac Fields

2015 ◽  
pp. 35-45
Author(s):  
David Hestenes
Keyword(s):  
Dirac Fields

scholarly journals The art of the state

2018 ◽  
Vol 27 (11) ◽  
pp. 1843007 ◽  
Author(s):  
Christopher J. Fewster
Keyword(s):  
Infinite Family ◽  
Vacuum State ◽  
Natural Conditions ◽  
Spacetime Geometry ◽  
High Energies ◽  
Hyperbolic Spacetime ◽  
Hadamard Condition ◽  
Free Scalar ◽  
Model Independent ◽  
Hadamard States

Quantum field theory (QFT) on curved spacetimes lacks an obvious distinguished vacuum state. We review a recent no-go theorem that establishes the impossibility of finding a preferred state in each globally hyperbolic spacetime, subject to certain natural conditions. The result applies in particular to the free scalar field, but the proof is model-independent and therefore of wider applicability. In addition, we critically examine the recently proposed “SJ states”, that are determined by the spacetime geometry alone, but which fail to be Hadamard in general. We describe a modified construction that can yield an infinite family of Hadamard states, and also explain recent results that motivate the Hadamard condition without direct reference to ultra-high energies or ultra-short distance structure.

scholarly journals Uniqueness of the Fock quantization of Dirac fields in 2+1 dimensions

2017 ◽  
Vol 96 (2) ◽  
Author(s):  
Jerónimo Cortez ◽  
Beatriz Elizaga Navascués ◽  
Mercedes Martín-Benito ◽  
Guillermo A. Mena Marugán ◽  
José M. Velhinho
Keyword(s):  
Dirac Fields

scholarly journals Massive charged Dirac fields around Reissner-Nordström black holes: Quasibound states and long-lived modes

2017 ◽  
Vol 96 (6) ◽  
Author(s):  
Yang Huang ◽  
Dao-Jun Liu ◽  
Xiang-hua Zhai ◽  
Xin-zhou Li
Keyword(s):  
Black Holes ◽  
Dirac Fields
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