3 Symmetries in κ - Minkowski : free scalar theory

نویسنده

  • Alessandra AGOSTINI
چکیده

I give a brief summary of the results reported in [1], in collaboration with G. Amelino-Camelia and F. D’Andrea. I focus on the analysis of the symmetries of κ-Minkowski noncommutative space-time, described in terms of a Weyl map. The commutative-spacetime notion of Lie-algebra symmetries must be replaced by the one of Hopf-algebra symmetries. However, in the Hopf-algebra sense, it is possible to construct an action in κ-Minkowski which is invariant under a 10-generators Poincaré-like symmetry algebra.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Scalar field theory on κ-Minkowski space-time and Doubly Special Relativity

In this paper we recall the construction of scalar field action on κ-Minkowski spacetime and investigate its properties. In particular we show how the co-product of κPoincaré algebra of symmetries arises from the analysis of the symmetries of the action, expressed in terms of Fourier transformed fields. We also derive the action on commuting space-time, equivalent to the original one. Adding th...

متن کامل

2 00 3 December 19 , 2003 FIELDS AND SYMMETRIES IN κ - MINKOWSKI

We have investigated some issues relevant for the possibility to construct physical theories on the κ-Minkowski noncommutative spacetime. The notion of field in κ-Minkowski has been introduced by generalizing the Weyl system/map formalism and a comparative study of the star products arising from this generalization has been done. A line of analysis of the symmetries of κ-Minkowski has been prop...

متن کامل

Generalized κ-Deformations and Deformed Relativistic Scalar Fields on Noncommutative Minkowski Space

We describe the generalized κ-deformations ofD = 4 relativistic symmetries with finite masslike deformation parameter κ and an arbitrary direction in κ-deformed Minkowski space being noncommutative. The corresponding bicovariant differential calculi on κdeformed Minkowski spaces are considered. Two distinguished cases are discussed: 5D noncommutative differential calculus (κ-deformation in time...

متن کامل

Local D = 4 Field Theory on κ – Deformed Minkowski Space ∗

We describe the local D=4 field theory on κ–deformed Minkowski space as nonlocal relativistic field theory on standard Minkowski space–time. For simplicity the case of κ-deformed scalar field φ with the interaction λφ is considered, and the κ–deformed interaction vertex is described. Supported by KBN grant 2P03B13012 On leave of absence from the Institute for Theoretical Physics, University of ...

متن کامل

Quantum Deformations of Einstein’s Relativistic Symmetries

We shall outline two ways of introducing the modification of Einstein’s relativistic symmetries of special relativity theory the Poincaré symmetries. The most complete way of introducing the modifications is via the noncocommutative Hopfalgebraic structure describing quantum symmetries. Two types of quantum relativistic symmetries are described, one with constant commutator of quantum Minkowski...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2004