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Effects of Non-locality in Gravity and Quantum Theory (Paperback, 1st ed. 2021)
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Effects of Non-locality in Gravity and Quantum Theory (Paperback, 1st ed. 2021)
Series: Springer Theses
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This thesis is devoted to the systematic study of non-local
theories that respect Lorentz invariance and are devoid of new,
unphysical degrees of freedom. Such theories are attractive for
phenomenological applications since they are mostly unconstrained
by current experiments. Non-locality has played an increasingly
important role in the physics of the last decades, appearing in
effective actions in quantum field theory, and arising naturally in
string theory and non-commutative geometry. It may even be a
necessary ingredient for quantum theories of gravity. It is a
feature of quantum entanglement, and may even solve the
long-standing black hole information loss problem. "Non-locality"
is a broad concept with many promising and fruitful applications in
theoretical and mathematical physics. After a historical and
pedagogical introduction into the concept of non-locality the
author develops the notion of non-local Green functions to study
various non-local weak-field problems in quantum mechanics, quantum
field theory, gravity, and quantum field theory in curved
spacetime. This thesis fills a gap in the literature by providing a
self-contained exploration of weak-field effects in non-local
theories, thereby establishing a "non-local intuition" which may
serve as a stepping stone for studies of the full, non-linear
problem of non-locality.
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