A Barducci and R Giachetti 2003 J. Phys. A: Math. Gen. 36 8129 doi:10.1088/0305-4470/36/29/317
A Barducci and R Giachetti
Show affiliationsWe study the quantization problem of relativistic scalar and spinning particles interacting with a radiation electromagnetic field by using the path integral and the external source method. The spin degrees of freedom are described in terms of Grassmann variables and the Feynman kernel is obtained through functional integration on both Bose and Fermi variables. We provide rigorous proof that the Feynman amplitudes are only determined by the classical contribution and we explicitly evaluate the propagators.
81S40 Path integrals (See also 58D30)
Issue 29 (25 July 2003)
Received 14 April 2003, in final form 12 June 2003
Published 8 July 2003
A Barducci and R Giachetti 2003 J. Phys. A: Math. Gen. 36 8129
B. T. Draine and Joseph C. Weingartner 1997 ApJ 480 633
V. I. Abramenko et al. 2002 ApJ 577 487
Qin Hai-Yan et al 2009 Chinese Phys. Lett. 26 118102
J M Velhinho 2004 Class. Quantum Grav. 21 L109
A Dewald et al 2005 J. Phys. G: Nucl. Part. Phys. 31 S1427
J Daligault and C Guet 2003 J. Phys. A: Math. Gen. 36 5847
Robin L. Fingerhut et al. 2007 ApJ 655 814
Qiu Chang-Chun et al 2009 Chinese Phys. Lett. 26 114301
Luigi Cantini et al 2001 Class. Quantum Grav. 18 2253