Analyticity and the renormalization group

Journal Article · Tue Jun 01 00:00:00 EDT 1982 · Sov. J. Nucl. Phys. (Engl. Transl.); (United States)

OSTI ID:6424757

Krasnikov, N V

Based on the use of general principles of local quantum field theory we have proved the inequalities 0< or =psi(y, ..cap alpha..)< or =..cap alpha.. Vertical Bar ..beta..(..cap alpha../sub s/)/..cap alpha../sub s/ Vertical Bar < or =1 (for the Peterman--Stueckelberg--Gell-Mann--Low function in quantum electrodynamics and in quantum chromodynamics), as well as the inequality ..gamma../sub 0/(..cap alpha../sub s/)< or =1 (for the anomalous dimension of the gauge-invariant operator O(x) of quantum chromodynamics). Consequences of these inequalities are discussed. A comparison at present-day energies between the theoretical and experimental moments of the structure functions of deep inelastic lepton-hadron scattering is meaningful only for N< or =7 (the singlet case) and N< or =50 (the non-singlet case).

• Research Organization: Institute for Nuclear Research of the USSR Academy of Sciences
• OSTI ID: 6424757
• Journal Information: Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Vol. 35:6
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM FIELD THEORY
LOCALITY
RENORMALIZATION
ANALYTIC FUNCTIONS
DEEP INELASTIC SCATTERING
LEPTON-HADRON INTERACTIONS
QUANTUM CHROMODYNAMICS
QUANTUM ELECTRODYNAMICS
STRUCTURE FUNCTIONS
ELECTRODYNAMICS
FIELD THEORIES
FUNCTIONS
INELASTIC SCATTERING
INTERACTIONS
LEPTON-BARYON INTERACTIONS
LEPTON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
SCATTERING
645400* - High Energy Physics- Field Theory