Effective Lagrangian for near-critical technicolor and extended technicolor

Journal Article · Thu Oct 01 04:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.46.3123· OSTI ID:7258488

Mahanta, U ^[1]

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1. Center for Theoretical Studies, Indian Institute of Science, Bangalore 560012 (India)

At energies small compared to the extended technicolor scale {Lambda} but large compared to the technicolor (TC) scale {Lambda}{sub TC}, the light composite scalars generated by the near-critical high-energy interactions play an important role in the effective dynamics. In this article we construct the effective Lagrangian of such finely tuned high-energy interactions in terms of these composite scalars. In order to construct {ital L}{sub {ital e}{ital f}{ital f}} we shall use the renormalization-group technique to integrate out the high-momentum modes of the technifermions and technigluons. The effect of the running of the TC gauge coupling on the effective dynamics will be taken into account in the weak perturbative limit. We find that for realistic values of {alpha} the scalars are relatively broad resonances and for large enough values of {alpha} the interaction Lagrangian differs significantly from the canonical {kappa}({phi}{sup {dagger}}{phi}){sup 2} form where {kappa} is the coupling constant for the four-scalar vertex.

• OSTI ID: 7258488
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 46:7; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CHIRAL SYMMETRY
COLOR MODEL
COMPOSITE MODELS
COUPLING CONSTANTS
ELEMENTARY PARTICLES
FERMIONS
FUNCTIONS
GLUONS
GOLDSTONE BOSONS
INTERACTIONS
LAGRANGIAN FUNCTION
LIE GROUPS
MATHEMATICAL MODELS
NUCLEAR POTENTIAL
PARTICLE INTERACTIONS
PARTICLE MODELS
POSTULATED PARTICLES
POTENTIALS
PROPAGATOR
QUARK MODEL
RENORMALIZATION
SCALAR FIELDS
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
YUKAWA POTENTIAL