Dual PT-Symmetric Quantum Field Theories
Bender, Carl M. ; Jones, H. F. ; Rivers, R. J.
arXiv, 0508105 / Harvested from arXiv
Text on arXiv
Some quantum field theories described by non-Hermitian Hamiltonians are investigated. It is shown that for the case of a free fermion field theory with a $\gamma_5$ mass term the Hamiltonian is $\cal PT$-symmetric. Depending on the mass parameter this symmetry may be either broken or unbroken. When the $\cal PT$ symmetry is unbroken, the spectrum of the quantum field theory is real. For the $\cal PT$-symmetric version of the massive Thirring model in two-dimensional space-time, which is dual to the $\cal PT$-symmetric scalar Sine-Gordon model, an exact construction of the $\cal C$ operator is given. It is shown that the $\cal PT$-symmetric massive Thirring and Sine-Gordon models are equivalent to the conventional Hermitian massive Thirring and Sine-Gordon models with appropriately shifted masses.
Publié le : 2005-08-15
Classification:  High Energy Physics - Theory,  Mathematical Physics,  Quantum Physics 
@article{0508105,
     author = {Bender, Carl M. and Jones, H. F. and Rivers, R. J.},
     title = {Dual PT-Symmetric Quantum Field Theories},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0508105}
}

Bender, Carl M.; Jones, H. F.; Rivers, R. J. Dual PT-Symmetric Quantum Field Theories. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0508105/