q-EUCLIDEAN SPACE AND QUANTUM GROUP WICK ROTATION BY TWISTING
نویسنده
چکیده
We study the quantum matrix algebra R21x1x2 = x2x1R and for the standard 2×2 case propose it for the co-ordinates of q-deformed Euclidean space. The algebra in this simplest case is isomorphic to the usual quantum matrices Mq(2) but in a form which is naturally covariant under the Euclidean rotations SUq(2)⊗SUq(2). We also introduce a quantum Wick rotation that twists this system precisely into the approach to q-Minkowski space based on braided-matrices and their associated spinorial q-Lorentz group.
منابع مشابه
Wick rotation for quantum field theories on degenerate Moyal space(-time)
In this paper the connection between quantum field theories on flat noncommutative space(-times) in Euclidean and Lorentzian signature is studied for the case that time is still commutative. By making use of the algebraic framework of quantum field theory and an analytic continuation of the symmetry groups which are compatible with the structure of Moyal space, a general correspondence between ...
متن کاملWick rotation for holomorphic random fields
Random field with paths given as restrictions of holomorphic functions to Euclidean space-time can be Wick-rotated by pathwise analytic continuation. Euclidean symmetries of the correlation functions then go over to relativistic symmetries. As a concrete example, convoluted point processes with interactions motivated from quantum field theory are discussed. A general scheme for the construction...
متن کاملQuantum Spin Dynamics (QSD) II
We continue here the analysis of the previous paper of the Wheeler-DeWitt constraint operator for four-dimensional, Lorentzian, non-perturbative, canonical vacuum quantum gravity in the continuum. In this paper we derive the complete kernel, as well as a physical inner product on it, for a non-symmetric version of the Wheeler-DeWitt operator. We then define a symmetric version of the Wheeler-De...
متن کاملEquivalence of Minkowski and Euclidean Field Theory Solutions
We consider the correspondence between solutions of non-gravitational field theories formulated in Euclidean space-time andMinkowski spacetime. Infinitely many “Euclidean” spaces can be obtained from M via a group of transformations in which the Wick rotation is a special case. We then discuss how the solutions of gauge field theories formulated in these “Euclidean” spaces have a one-to-one cor...
متن کاملA non-perturbative Lorentzian path integral for gravity
A well-defined regularized path integral for Lorentzian quantum gravity in three and four dimensions is constructed, given in terms of a sum over dynamically triangulated causal space-times. Each Lorentzian geometry and its associated action have a unique Wick rotation to the Euclidean sector. All space-time histories possess a distinguished notion of a discrete proper time. For finite lattice ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1994