The Classical Free Particle

2015 ◽  
pp. 29-36
Keyword(s):  
2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Joaquim Gomis ◽  
Euihun Joung ◽  
Axel Kleinschmidt ◽  
Karapet Mkrtchyan

Abstract We construct a generalisation of the three-dimensional Poincaré algebra that also includes a colour symmetry factor. This algebra can be used to define coloured Poincaré gravity in three space-time dimensions as well as to study generalisations of massive and massless free particle models. We present various such generalised particle models that differ in which orbits of the coloured Poincaré symmetry are described. Our approach can be seen as a stepping stone towards the description of particles interacting with a non-abelian background field or as a starting point for a worldline formulation of an associated quantum field theory.


2010 ◽  
pp. 138-157
Author(s):  
Siegmund Brandt ◽  
Hans Dieter Dahmen ◽  
Tilo Stroh

2005 ◽  
Vol 208 (1-2) ◽  
pp. 96-114 ◽  
Author(s):  
Stephan De Bièvre ◽  
Paul E. Parris ◽  
Alex Silvius

1963 ◽  
Vol 15 (3) ◽  
pp. 906-911
Author(s):  
A. A. Glazov ◽  
V. P. Dzhelepov ◽  
V. P. Dmitrievskii ◽  
B. I. Zamolodchikov ◽  
V. V. Kol'ga ◽  
...  

1993 ◽  
Vol 199 (1) ◽  
pp. 137-153 ◽  
Author(s):  
E.P. da Silva ◽  
C. Tsallis ◽  
E.M.F. Curado
Keyword(s):  

2011 ◽  
Vol 49 (5) ◽  
pp. 649-656 ◽  
Author(s):  
Aidin Jabbari Sahebari ◽  
Yee-Chung Jin ◽  
Ahmad Shakibaeinia

1978 ◽  
Vol 21 (11-12) ◽  
pp. 1357-1360 ◽  
Author(s):  
Claus F. Klingshirn ◽  
Walter Maier ◽  
Bernd Hönerlage ◽  
Hartmut Haug ◽  
Stephan W. Koch

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