Quantum field theory off null planes

1971
20 pages
Published in:
  • Nuovo Cim.A 1 (1971) 625-644
Report number:
  • PRINT-70-588 (SYRACUSE)

Citations per year

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Abstract: (Springer)
The initial-value problem for hyperbolic differential equations with the initial data given on a null plane in Minkowski space is considered in detail for the Klein-Gordon and Dirac equations. Existence and uniqueness theorems are given. The quantum field-theoretic analogue involves the commutation relations on the null plane and the null translation operator off that plane. The formal theory of interacting fields is stated briefly in the Feynman-Dyson spirit. It is pointed out that an interaction that involves the null co-ordinate derivative of the field in the direction off the initial plane leads to additional complications.
  • field theory
  • field equations
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