Some boundary effects in quantum field theory
نویسندگان
چکیده
منابع مشابه
Some Boundary Effects in Quantum Field Theory *
We have constructed a quantum field theory in a finite box, with periodic boundary conditions, using the hypothesis that particles living in a finite box are created and/or annihilated by the creation and/or annihilation operators, respectively, of a quantum harmonic oscillator on a circle. An expression for the effective coupling constant is obtained showing explicitly its dependence on the di...
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The fundamental laws of physics can be derived from the requirement of invariance under suitable classes of transformations on the one hand, and from the need for a well-posed mathematical theory on the other hand. As a part of this programme, the present paper shows under which conditions the introduction of pseudo-differential boundary operators in one-loop Euclidean quantum gravity is compat...
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When quantum fields are studied on manifolds with boundary, the corresponding one-loop quantum theory for bosonic gauge fields with linear covariant gauges needs the assignment of suitable boundary operators for elliptic differential operators of Laplace type. It is here shown that, on requiring that the full boundary operator should be a projector, at least two sets of such operators are found...
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A jump process on configuration space whose transition rates are governed by the state vector of a quantum field theory was first considered by J.S. Bell. This process and its variants involving “minimal” jump rates are reviewed, and a recent proof of global existence of Bell’s process is sketched. As an outlook, it is suggested how methods of this proof could be applied to similar global exist...
متن کاملSome Jump Processes in Quantum Field Theory
A jump process for the positions of interacting quantum particles on a lattice, with time-dependent transition rates governed by the state vector, was first considered by J.S. Bell. We review this process and its continuum variants involving “minimal” jump rates, describing particles as they get created, move, and get annihilated. In particular, we sketch a recent proof of global existence of B...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2004
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.70.065018