Path Integrals and Transition Amplitudes

  • Masud Chaichian
  • Nikolai F. Nelipa
Part of the Texts and Monographs in Physics book series (TMP)


There are various formulations of quantum field theory, differing in the form of a basic quantity, viz. the transition amplitude. In the most commonly used operator approach, the transition amplitude is expressed as the vacuum expectation value of the product of particle creation and annihilation operators. These operators obey certain commutation relations (cf. Sect. 1.1). Another formulation is based on expressing the transition amplitude in terms of path integrals over the fields. In studying the gauge fields, the path-integral formalism has proven to be the most convenient.


Transition Amplitude Constraint Equation Path Integral Gauge Field Canonical Variable 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1984

Authors and Affiliations

  • Masud Chaichian
    • 1
  • Nikolai F. Nelipa
    • 2
  1. 1.Department of High Energy PhysicsUniversity of HelsinkiHelsinki 17Finland
  2. 2.Institute for Nuclear PhysicsMoscow State UniversityMoscowUSSR

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