Conformally symmetric massive discrete fields

dc.creatorde Souza, Manoelito M
dc.date2000-06-29
dc.date2001-03-23
dc.date.accessioned2026-07-07T04:10:06Z
dc.date.available2026-07-07T04:10:06Z
dc.descriptionConformal symmetry is taken as an attribute of theories of massless fields in manifolds with specific dimensionalities. This paper shows that this is not an absolute truth; it is a consequence of the mathematical representation used for the physical interactions. It introduces a new kind of representation where the propagation of massive (invariant mass) and massless interactions are unifiedly described by a single conformally symmetric Green's function. Sources and fields are treated at a same footing, symmetrically, as discrete fields - the fields in this new representation - fields defined with support on straight lines embedded in a (3+1)-Minkowski manifold. The discrete field turns out to be a point in phase space. It is finite everywhere. With a finite number of degrees of freedom it does not share the well known problems faced by the standard continuous formalism which can be retrieved from the discrete one by an integration over a hypersurface. The passage from discrete to continuous fields illuminates the physical meaning and origins of their properties and problems. The price for having massive discrete field with conformal symmetry is of hiding its mass and time-like velocity behind its non-constant proper-time.
dc.descriptionA new reference, a new figure and a new section are added to clarify the meaning of conformal (and chiral) symmetry of massive discrete-fields
dc.identifierhttps://arxiv.org/abs/hep-th/0006237
dc.identifierhttp://arxiv.org/abs/hep-th/0006237
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/50103
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleConformally symmetric massive discrete fields
dc.typetext

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