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Edge state quantization : vector fields in Rindler

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Abstract
We present a detailed discussion of the entanglement structure of vector fields through canonical quantization. We quantize Maxwell theory in Rindler space in Lorenz gauge, discuss the Hilbert space structure and analyze the Unruh effect. As a warm-up, in 1+1 dimensions, we compute the spectrum and prove that the theory is thermodynamically trivial. In d + 1 dimensions, we identify the edge sector as eigenstates of horizon electric flux or equivalently as states representing large gauge transformations, localized on the horizon. The edge Hilbert space is generated by inserting a generic combination of Wilson line punctures in the edge vacuum, and the edge states are identified as Maxwell microstates of the black hole. This construction is repeated for Proca theory. Extensions to tensor field theories, and the link with Chern-Simons are discussed.
Keywords
BLACK-HOLE ENTROPY, GAUGE-THEORIES, ENTANGLEMENT, GRAVITY, STRINGS, Black Holes, Gauge Symmetry

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MLA
Blommaert, Andreas, Thomas Mertens, Henri Verschelde, et al. “Edge State Quantization : Vector Fields in Rindler.” JOURNAL OF HIGH ENERGY PHYSICS 8 (2018): n. pag. Print.
APA
Blommaert, A., Mertens, T., Verschelde, H., & Zakharov, V. I. (2018). Edge state quantization : vector fields in Rindler. JOURNAL OF HIGH ENERGY PHYSICS, (8).
Chicago author-date
Blommaert, Andreas, Thomas Mertens, Henri Verschelde, and Valentin I Zakharov. 2018. “Edge State Quantization : Vector Fields in Rindler.” Journal of High Energy Physics (8).
Chicago author-date (all authors)
Blommaert, Andreas, Thomas Mertens, Henri Verschelde, and Valentin I Zakharov. 2018. “Edge State Quantization : Vector Fields in Rindler.” Journal of High Energy Physics (8).
Vancouver
1.
Blommaert A, Mertens T, Verschelde H, Zakharov VI. Edge state quantization : vector fields in Rindler. JOURNAL OF HIGH ENERGY PHYSICS. 2018;(8).
IEEE
[1]
A. Blommaert, T. Mertens, H. Verschelde, and V. I. Zakharov, “Edge state quantization : vector fields in Rindler,” JOURNAL OF HIGH ENERGY PHYSICS, no. 8, 2018.
@article{8575101,
  abstract     = {We present a detailed discussion of the entanglement structure of vector fields through canonical quantization. We quantize Maxwell theory in Rindler space in Lorenz gauge, discuss the Hilbert space structure and analyze the Unruh effect. As a warm-up, in 1+1 dimensions, we compute the spectrum and prove that the theory is thermodynamically trivial. In d + 1 dimensions, we identify the edge sector as eigenstates of horizon electric flux or equivalently as states representing large gauge transformations, localized on the horizon. The edge Hilbert space is generated by inserting a generic combination of Wilson line punctures in the edge vacuum, and the edge states are identified as Maxwell microstates of the black hole. This construction is repeated for Proca theory. Extensions to tensor field theories, and the link with Chern-Simons are discussed.},
  articleno    = {196},
  author       = {Blommaert, Andreas and Mertens, Thomas and Verschelde, Henri and Zakharov, Valentin I},
  issn         = {1029-8479},
  journal      = {JOURNAL OF HIGH ENERGY PHYSICS},
  keywords     = {BLACK-HOLE ENTROPY,GAUGE-THEORIES,ENTANGLEMENT,GRAVITY,STRINGS,Black Holes,Gauge Symmetry},
  language     = {eng},
  number       = {8},
  pages        = {55},
  title        = {Edge state quantization : vector fields in Rindler},
  url          = {http://dx.doi.org/10.1007/JHEP08(2018)196},
  year         = {2018},
}

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