منابع مشابه
Quantum Field Theory in Curved Spacetime
We review the mathematically rigorous formulation of the quantum theory of a linear field propagating in a globally hyperbolic spacetime. This formulation is accomplished via the algebraic approach, which, in essence, simultaneously admits all states in all possible (unitarily inequivalent) Hilbert space constructions. The physically nonsingular states are restricted by the requirement that the...
متن کاملFailure of Microcausality in Quantum Field Theory on Noncommutative Spacetime
The star commutator of : φ(x)⋆φ(x) : with : φ(y)⋆φ(y) : fails to vanish at equal times and thus also fails to obey microcausality at spacelike separation even for the case in which θ0i = 0. The failure to obey microcausality for this sample observable implies that this form of noncommutative field theory fails to obey microcausality in general. This result also holds for general fields and obse...
متن کاملQuantum Field Theory on Curved Backgrounds. II. Spacetime Symmetries
We study space-time symmetries in scalar quantum field theory on an arbitrary static space-time. We first consider Euclidean quantum field theory, and show that the isometry group is generated by one-parameter subgroups which have either selfadjoint or unitary quantizations. We then show that the self-adjoint semigroups thus constructed can be analytically continued to one-parameter unitary gro...
متن کاملQuantum field theory on fractal spacetime: a new regularisation method
Spacetime is modelled a s a fractal subset of R". Analysis on homogeneous sets with non-integer Hausdorff dimension is applied to the low-order perturbative renormalisation of quantum electrodynamics. This new regularisation method implements the Dirac matrices and tensors in R4 without difficulties, is gauge invariant, covariant and differs from dimensional regularisation in some aspects.
متن کاملQuantum Gravity, Field Theory and Signatures of Noncommutative Spacetime
A pedagogical introduction to some of the main ideas and results of field theories on quantized spacetimes is presented, with emphasis on what such field theories may teach us about the problem of quantizing gravity. We examine to what extent noncommutative gauge theories may be regarded as gauge theories of gravity. UV/IR mixing is explained in detail and we describe its relations to renormali...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2006
ISSN: 1742-6588,1742-6596
DOI: 10.1088/1742-6596/53/1/051