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Quantum field theories with boundaries and novel instabilities
Phys. Rev. D 89, 025020 – Published 27 January, 2014
DOI: https://doi.org/10.1103/PhysRevD.89.025020
Abstract
Quantum physics on manifolds with boundary brings novel aspects due to boundary conditions. One important feature is the appearance of localized negative eigenmodes for the Laplacian on the boundary. These can potentially lead to instabilities. We consider quantum field theories on such manifolds and interpret these as leading to the onset of phase transitions.
Article Text
References (16)
- J. von Neumann, Math. Ann. 102, 49 (1930).
- M. Asorey, A. Ibort, and G. Marmo, Int. J. Mod. Phys. A 20, 1001 (2005); M. Asorey, D. Garcia-Alvarez, and J. M. Munoz-Castaneda, J. Phys. A 39, 6127 (2006); M. Asorey and J. M. Munoz-Castaneda, 41, 304004 (2008).
- M. V. Berry, J. Phys. A 42, 165208 (2009).
- T. R. Govindarajan and R. Tibrewala, Phys. Rev. D 83, 124045 (2011).
- M. Asorey and J. M. Munoz-Castaneda, Nucl. Phys. B874, 852 (2013).
- D. Karabali and V. P.Nair, Phys. Rev. D 87, 105021 (2013).
- J. M. Munoz-Castaneda, J. M. Guilarte, and A. M. Mosquera, Phys. Rev. D 87, 105020 (2013).
- P. Parashar, K. A. Milton, K. V. Shajesh, and M. Schaden, Phys. Rev. D 86, 085021 (2012).
- M. Bordag, Phys. Rev. D 70, 085010 (2004); M. Bordag and D. Vassilevich, 70, 045003 (2004); see also, M. Bordag, J. Phys. A 25, 4483 (1992).
- A. P. Balachandran, L. Chandar, E. Ercolessi, T. R. Govindarajan, and R. Shankar, Int. J. Mod. Phys. A 09, 3417 (1994); T. R. Govindarajan, V. Suneeta, and S. Vaidya, Nucl. Phys. B583, 291 (2000).
- I. G. Avramidi and G. Esposito, Classical Quantum Gravity 15, 281 (1998).
- M. Asorey, A. P. Balachandran, and J. M. Perez-Pardo, arXiv:1308.5635.
- T. R. Govindarajan, R. Parthasarathy, and R. Tibrewala, (to be published).
- J. M. Guilarte and J. M. Munoz-Castaneda, Int. J. Theor. Phys. 50, 2227 (2011).
- Y. Fujimoto, T. Nagasawa, S. Ohya, and M. Sakamoto, Prog. Theor. Phys. 126, 841 (2011).
- M. F Atiyah, V. K Patodi, and I. M Singer, Math. Proc. Cambridge Philos. Soc. 77, 43 (1975).