(b) In the case of incorporating the GUP into
quantum field theory in a covariant way, we have shown in Section 3 that both scalar and fermionic deformed Hamilton-Jacobi equations can be reduced to
But
quantum field theory didn't make general relativity wrong, so we shouldn't be so quick to choose a winner in our discipline.
Consequently, such facts as van Hove's observation on perturbation calculus carried out within Fock space framework and Haag's theorem for
quantum field theory are not unexpected results!
"One's imagination can go further and wonder whether particles that are unknown to relativistic
quantum field theory can arise in condensed matter," said Bernevig.
The formal character of
quantum field theory has produced a useful computational tool but left enough vague and ill-defined that there is plenty to improve.
Emphasizing the wave aspects of the subject, Treiman concludes by delving into the intricacies of
quantum field theory. Originally published in hardcover in 1999.
The contrast between the Standard Model, which is built on the foundation of
quantum field theory, and general relativity, which has been tested with a high degree of accuracy but is still inadequate because of its classical nature, has caused many to term the theory of quantum gravity to be the Holy Grail of theoretical physics.
In their paper they point out that the mechanisms of SBS were first demonstrated theoretically in
quantum field theory.
But it has tended to be regarded as one pathology among many in the foundations of
quantum field theory. What has received little (no?) attention from philosophers, is the fact that the same situation is endemic among finite dimensional systems.
"
Quantum Field Theory Cannot Provide Faster-Than-Light Communication," Found Phys Lett (1989) 2: 127.
Among the topics are the linearity of quantum mechanics and the birth of the Schrodinger equation, sewing Greenberger-Horne-Seilinger states with a quantum zipper, deriving free
quantum field theory from information theory, Casimir forces in spherically symmetric dielectric media, and some consequences of mass and proper time as dynamical variables.