The C operator in PT-symmetric quantum field theory transforms as a Lorentz scalar -: art. no. 065010

被引：34
|
作者：
Bender, CM [1 ]
Brandt, SF [1 ]
Chen, JH [1 ]
Wang, QH [1 ]
机构：
[1] Washington Univ, Dept Phys, St Louis, MO 63130 USA
来源：
PHYSICAL REVIEW D | 2005年 / 71卷 / 06期
关键词：
D O I：
10.1103/PhysRevD.71.065010
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
A non-Hermitian Hamiltonian has a real positive spectrum and exhibits unitary time evolution if the Hamiltonian possesses an unbroken PT (space-time reflection) symmetry. The proof of unitarity requires the construction of a linear operator called C. It is shown here that C is the complex extension of the intrinsic parity operator and that the C operator transforms under the Lorentz group as a scalar.
引用
收藏
页码：1 / 7
页数：7
相关论文
共 50 条
  • [41] ζ-function regularization, the multiplicative anomaly, and finite temperature quantum field theory -: art. no. 105001
    McKenzie-Smith, JJ
    Toms, DJ
    PHYSICAL REVIEW D, 1998, 58 (10):
  • [42] Quantum dynamics of phase transitions in broken symmetry λφ4 field theory -: art. no. 056003
    Cooper, F
    Dawson, JF
    Mihaila, B
    PHYSICAL REVIEW D, 2003, 67 (05)
  • [43] Effective potential at finite temperature in a constant magnetic field:: Ring diagrams in a scalar theory -: art. no. 023004
    Ayala, A
    Sánchez, A
    Piccinelli, G
    Sahu, S
    PHYSICAL REVIEW D, 2005, 71 (02): : 023004 - 1
  • [44] On approximately symmetric informationally complete positive operator-valued measures and related systems of quantum states -: art. no. 082104
    Klappenecker, A
    Rötteler, M
    Shparlinski, IE
    Winterhof, A
    JOURNAL OF MATHEMATICAL PHYSICS, 2005, 46 (08)
  • [45] Quantum field theory of three flavor neutrino mixing and oscillations with CP violation -: art. no. 025033
    Blasone, M
    Capolupo, A
    Vitiello, G
    PHYSICAL REVIEW D, 2002, 66 (02):
  • [46] Role of dissipation in biasing the vacuum selection in quantum field theory at finite temperature -: art. no. 045017
    Freire, F
    Antunes, ND
    Salmi, P
    Achúcarro, A
    PHYSICAL REVIEW D, 2005, 72 (04): : 1 - 11
  • [47] Effective theory for the soft fluctuation modes in the spontaneously broken phase of the N-component scalar field theory -: art. no. 025006
    Jakovác, A
    Patkós, A
    Petreczky, P
    Szép, Z
    PHYSICAL REVIEW D, 2000, 61 (02):
  • [48] Scalar field corrections to AdS4 gravity from higher spin gauge theory -: art. no. 009
    Kristiansson, F
    Rajan, P
    JOURNAL OF HIGH ENERGY PHYSICS, 2003, (04):
  • [49] Domain walls with localized gravity and domain-wall/quantum field theory correspondence -: art. no. 086004
    Cvetic, M
    Lü, H
    Pope, CN
    PHYSICAL REVIEW D, 2001, 63 (08):
  • [50] Reaction-rate formula in out-of-equilibrium quantum-field theory -: art. no. 056004
    Niégawa, A
    Okano, K
    Ozaki, H
    PHYSICAL REVIEW D, 2000, 61 (05): : 1 - 11
12345