We study the half advanced and half retarded Wheeler Green function and its relation to Feynman propagators. First for massless equation. Then, for Klein-Gordon equations with arbitrary mass parameters; real, imaginary or complex. In all cases the Wheeler propagator lacks an on-shell free propagation. The Wheeler function has support inside the light-cone (whatever the mass). The associated vacuum is symmetric with respect to annihilation and creation operators.
Quantum Field Theory, Feynman-, Wheeler Propagators, Dimensional Regularization in Configuration Space and Convolution of Lorentz Invariant Tempered Distributions
The Dimensional Regularization of Bollini and Giambiags (Phys. Lett. { \bf B 40}, 566 (1972), Il Nuovo Cim. { \bf B 12}, 20 (1972). Phys. Rev. { \bf D 53}, 5761 (1996)) can not be defined for all Schwartz Tempered Distributions Explicitly Lorentz Invariant (STDELI) ${\cal S}^{'}_L$ . In this paper we overcome here such limitation and show that it can be generalized to all aforementioned STDELI and obtain a product in a ring with zero divisors. For this purpose, we resort to a formula obtained in [Int. J. of Theor. Phys. { \bf 43}, 1019 (2004)] and demonstrate the existence of the convolution (…
Green functions of the Regge-Wheeler and Teukolsky equations in Schwarzschild spacetime
Institut für Theoretische Physik, Universität Leipzig（莱比锡大学理论物理研究所）；School of Mathematics and Statistics, University College Dublin（都柏林大学学院数学与统计学院）；Centro Brasileiro de Pesquisas Físicas (CBPF)（巴西物理学研究中心）
Two-point function reduction of four-point amputated functions and transformations in $F\bar{F}$ and RA basis in a real-time finite temperature NJL model
Closed-form expressions for smeared bi-distributions of a massless scalar field: non-perturbative and asymptotic results in relativistic quantum information
