共查询到20条相似文献,搜索用时 15 毫秒
1.
Helmut Friedrich István Rácz Robert M. Wald 《Communications in Mathematical Physics》1999,204(3):691-707
We consider smooth electrovac spacetimes which represent either (A) an asymptotically flat, stationary black hole or (B) a
cosmological spacetime with a compact Cauchy horizon ruled by closed null geodesics. The black hole event horizon or, respectively,
the compact Cauchy horizon of these spacetimes is assumed to be a smooth null hypersurface which is non-degenerate in the
sense that its null geodesic generators are geodesically incomplete in one direction. In both cases, it is shown that there
exists a Killing vector field in a one-sided neighborhood of the horizon which is normal to the horizon. We thereby generalize
theorems of Hawking (for case (A)) and Isenberg and Moncrief (for case (B)) to the non-analytic case.
Received: 4 November 1998 / Accepted: 13 February 1999 相似文献
2.
The time slice axiom states that the observables which can be measured within an arbitrarily small time interval suffice to
predict all other observables. While well known for free field theories where the validity of the time slice axiom is an immediate
consequence of the field equation it was not known whether it also holds in generic interacting theories, the only exception
being certain superrenormalizable models in 2 dimensions. In this paper we prove that the time slice axiom holds at least
for scalar field theories within formal renormalized perturbation theory. 相似文献
3.
Claudio Dappiaggi Gandalf Lechner Eric Morfa-Morales 《Communications in Mathematical Physics》2011,305(1):99-130
The recent construction and analysis of deformations of quantum field theories by warped convolutions is extended to a class of curved spacetimes. These spacetimes carry a family of wedge-like regions which share the essential causal properties of the Poincaré transforms of the Rindler wedge in Minkowski space. In the setting of deformed quantum field theories, they play the role of typical localization regions of quantum fields and observables. As a concrete example of such a procedure, the deformation of the free Dirac field is studied. 相似文献
4.
Quantum equations for massless particles of any spin are considered in stationary uncharged axially symmetric spacetimes. It is demonstrated that up to a normalization function, the angular wave function does not depend on the metric and practically is the same as in the Minkowskian case. The radial wave functions satisfy second order nonhomogeneous differential equations with three nonhomogeneous terms, which depend in a unique way on time and space curvatures. In agreement with the principle of equivalence, these terms vanish locally, and the radial equations reduce to the same homogeneous equations as in Minkowski spacetime. 相似文献
5.
D. Bahns S. Doplicher K. Fredenhagen G. Piacitelli 《Communications in Mathematical Physics》2003,237(1-2):221-241
We discuss a formulation of quantum field theory on quantum space time where the perturbation expansion of the S-matrix is term by term ultraviolet finite.
The characteristic feature of our approach is a quantum version of the Wick product at coinciding points: the differences
of coordinates q
j
−q
k
are not set equal to zero, which would violate the commutation relation between their components. We show that the optimal
degree of approximate coincidence can be defined by the evaluation of a conditional expectation which replaces each function
of q
j
−q
k
by its expectation value in optimally localized states, while leaving the mean coordinates invariant.
The resulting procedure is to a large extent unique, and is invariant under translations and rotations, but violates Lorentz
invariance. Indeed, optimal localization refers to a specific Lorentz frame, where the electric and magnetic parts of the
commutator of the coordinates have to coincide [11].
Employing an adiabatic switching, we show that the S-matrix is term by term finite. The matrix elements of the transfer matrix
are determined, at each order in the perturbative expansion, by kernels with Gaussian decay in the Planck scale. The adiabatic
limit and the large scale limit of this theory will be studied elsewhere.
Received: 15 January 2003 / Accepted: 20 March 2003
Published online: 5 May 2003
RID="*"
ID="*" Research supported by MIUR and GNAMPA-INDAM
RID="*"
ID="*" Research supported by MIUR and GNAMPA-INDAM
Communicated by H. Araki and D. Buchholz 相似文献
6.
Kimball A. Milton 《Czechoslovak Journal of Physics》2003,53(11):1069-1072
In the context of the PT-symmetric version of quantum electrodynamics, it is argued that the C-operator introduced in order to define a unitary inner product has nothing to do with charge conjugation. 相似文献
7.
We discuss shuffle identities between Feynman graphs using the Hopf algebra structure of perturbative quantum field theory. For concrete exposition, we discuss vertex function in massless Yukawa theory. 相似文献
8.
Robert Oeckl 《Communications in Mathematical Physics》2001,217(2):451-473
We develop a general framework for quantum field theory on noncommutative spaces, i.e., spaces with quantum group symmetry.
We use the path integral approach to obtain expressions for n-point functions. Perturbation theory leads us to generalised Feynman diagrams which are braided, i.e., they have non-trivial
over- and under-crossings. We demonstrate the power of our approach by applying it to φ4-theory on the quantum 2-sphere. We find that the basic divergent diagram of the theory is regularised.
Received: 3 July 1999 / Accepted: 10 November 2000 相似文献
9.
We highlight the general notion of a relative quantum field theory, which occurs in several contexts. One is in gauge theory based on a compact Lie algebra, rather than a compact Lie group. This is relevant to the maximal superconformal theory in six dimensions. 相似文献
10.
The infinitesimal symmetries of a fully decomposed non-Abelian gerbe can be generated in terms of a nilpotent BRST operator, which is here constructed. The appearing fields find a natural interpretation in terms of the universal gerbe, a generalisation of the universal bundle. We comment on the construction of observables in the arising Topological Quantum Field Theory. It is also shown how the BRST operator and the trace part of a suitably truncated set of fields on the non-Abelian gerbe reduce directly to the coboundary operator and the pertinent cochains of the underlying ?ech–de Rham complex. 相似文献
11.
Rainer Häußling 《Annals of Physics》2002,299(1):1-77
We analyze in detail the quantization of a simple noncommutative model of spontaneous symmetry breaking in zero dimensions taking into account the noncommutative setting seriously. The connection to the counting argument of Feynman diagrams of the corresponding theory in four dimensions is worked out explicitly. Special emphasis is put on the motivation as well as the presentation of some well-known basic notions of quantum field theory which in the zero-dimensional theory can be studied without being spoiled by technical complications due to the absence of divergencies. 相似文献
12.
Andrzej Sitarz 《Letters in Mathematical Physics》1997,39(1):1-8
We build a q = –1 deformation of a plane on a product of two copies of algebras of functions on the plane. This algebra contains a subalgebra of functions on the plane. We present a general scheme (which could be also used to construct a quaternion from pairs of complex numbers) and we use it to derive differential structures and metrics, and discuss sample field-theoretical models.Mathematics Subject Classifications (1991):46L87, 81T13, 17B37. 相似文献
13.
Miguel Navarro 《Foundations of Physics Letters》1998,11(6):585-593
Rules of quantization and equations of motion for a finite-dimensional formulation of quantum field theory are proposed which fulfill the following properties: (a) Both the rules of quantization and the equations of motion are covariant; (b) the equations of evolution are second order in derivatives and first order in derivatives of the spacetime coordinates; and (c) these rules of quantization and equations of motion lead to the usual (canonical) rules of quantization and the (Schrödinger) equation of motion of quantum mechanics in the particular case of mechanical systems. We also comment briefly on further steps to fully develop a satisfactory quantum field theory and the difficuties which may be encountered when doing so. 相似文献
14.
M. I. Shirokov 《International Journal of Theoretical Physics》2002,41(6):1027-1041
A theory is defined to be relativistic if its Hamiltonian, total momenta, and boost's generators satisfy commutation relations of the Poincaré group. Field theories with usual local interactions are known to be relativistic. A simple example of a relativistic nonlocal theory is found. However, it has divergences. Some conditions are obtained which are necessary in order that a nonlocal theory be relativistic and divergenceless. 相似文献
15.
16.
From the inspection of noncommutative quantum mechanics, we obtain an approximate equivalent relation for the energy dependence of the Planck constant in the noncommutative space, which means a minimal length of the space. We find that this relation is reasonable and it can inherit the main properties of the noncommutative space. Based on this relation, we derive the modified Klein-Gordon equation and Dirac equation. We investigate the scalar field and φ4 model and then quantum electrodynamics in our theory, and derive the corresponding Feynman rules. These results may be considered as reasonable approximations to those of noncommutative quantum field theory. Our theory also shows a connection between the space with a minimal length and the noncommutative space. 相似文献
17.
18.
It is shown that the correlations predicted by relativistic quantum field theory in locally normal states between projections
in local von Neumann algebras (V
1),(V
2) associated with spacelike separated spacetime regions V
1,V
2 have a (Reichenbachian) common cause located in the union of the backward light cones of V
1 and V
2. Further comments on causality and independence in quantum field theory are made.
Originally published in International Journal of Theoretical Physics, Vol. 44, No. 7, 2005,Due to a publishing error, authorship
of the article was credited incorrectly. The corrected article is reprinted in its entirety here. The online version of the
original article can be found at 相似文献
19.
We give a criterion which has to be satisfied in a Quantum Field Theory in order to allow a complete particle interpretation of the theory. The notion of essentially localized states in Field Theory is re-examined.Supported in part by the National Science Foundation.On leave of absence from University of São Paulo, Brazil. 相似文献