Possible geometrical origin of isotopic symmetry group in strong interactions

Journal Article · Fri Dec 01 00:00:00 EST 1978 · Hadronic J.; (United States)

OSTI ID:6556593

Budini, P ^[1]; Furlan, P; Raczka, R

---

1. International Centre for theoretical Physics, Trieste, Italy

An attempt to understand the geometrical and dynamical origin of the isotopic spin group of symmetry in Yukawa theory is undertaken. It is first shown that scalar Yukawa interaction of massive scalar and fermion fields has the conformal group SO (4,2) as a local higher symmetry dynamical group. This implies the doubling of spinor fields and the existence of eight-parameter internal symmetry algebra, which commutes with the Poincare algebra and, in Minkowski space, is isomorphic to SU(2)/sub L/ + SU(2)/sub R/ + U(1)/sub L/ + U(1)/sub R/. It is shown that the conventional SU(2) symmetric Yukawa interaction between proton, neutron and ..pi.. mesons may be considered as a particular case of the resulting Lagrangian density. Since the internal algebra obtained may be considered as a representation of a Poincare invariant group of reflections in a six-dimensional space E/sub 4,2/, the so-called isotopic spin invariance may be interpreted as a symmetry with respect to this reflection group.

• OSTI ID: 6556593
• Journal Information: Hadronic J.; (United States), Vol. 1:5
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
YUKAWA NONLOCAL THEORY
ISOSPIN
SYMMETRY GROUPS
FERMIONS
INVARIANCE PRINCIPLES
MATHEMATICAL SPACE
NEUTRONS
O GROUPS
PIONS
POINCARE GROUPS
PROTONS
SCALAR FIELDS
SPINOR FIELDS
STRONG INTERACTIONS
SU-2 GROUPS
U-1 GROUPS
BARYONS
BASIC INTERACTIONS
BOSONS
DYNAMICAL GROUPS
ELEMENTARY PARTICLES
FIELD THEORIES
HADRONS
INTERACTIONS
LIE GROUPS
MESONS
NUCLEONS
PARTICLE PROPERTIES
PSEUDOSCALAR MESONS
QUANTUM FIELD THEORY
SPACE
SU GROUPS
U GROUPS
645204* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties