Current Algebra and Ward Identities: Three- and Four-Point Functions

1968 ◽  
Vol 170 (5) ◽  
pp. 1638-1647 ◽  
Author(s):  
Ira S. Gerstein ◽  
Howard J. Schnitzer
Keyword(s):  
Current Algebra ◽  
Ward Identities

Current Algebra, Ward Identities, and Space-Space Equal-Time Current Commutators

1968 ◽  
Vol 21 (7) ◽  
pp. 475-478 ◽  
Author(s):  
Howard J. Schnitzer ◽  
Michael L. Wise
Keyword(s):  
Current Algebra ◽  
Ward Identities ◽  
Equal Time

scholarly journals CURRENT ALGEBRA AND SUPERSYMMETRY

1986 ◽  
Vol 01 (03) ◽  
pp. 499-544 ◽  
Author(s):  
G.M. SHORE ◽  
G. VENEZIANO
Keyword(s):  
Supersymmetry Breaking ◽  
Current Algebra ◽  
Gauge Theories ◽  
Critical Assessment ◽  
Ward Identities ◽  
Yang Mills ◽  
Effective Lagrangian ◽  
Soft Supersymmetry Breaking ◽  
Supersymmetric Gauge ◽  
Chiral Superfield

The implications of supersymmetry and chiral Ward identities in supersymmetric gauge theories are explored using current algebra methods, and a critical assessment is made of the relative merits of the current algebra and effective Lagrangian approaches. Using the Ward identities directly, simple derivations are given of several important properties of the condensates in supersymmetric QCD, and of the generalized Dashen formulae. The corrections to these results in the presence of explicit, soft supersymmetry breaking are calculated. A concise formula is presented for the mass splittings within pseudo Goldstone multiplets induced by soft supersymmetry breaking terms. It is shown that if this supersymmetry breaking is the θ=0 component of a chiral superfield, the supertrace of the pseudo Goldstone masses vanishes. Using current algebra reduction formulae, the pseudo Goldstone masses are calculated in supersymmetric Yang-Mills theory, and supersymmetric QCD for NF<NC and NF=NC. Some differences are found between the current algebra and effective Lagrangian predictions, and their possible origins are discussed.

FUNCTIONAL INTEGRATION, WARD IDENTITIES AND THE WZW CURRENT ALGEBRA

1989 ◽  
Vol 04 (22) ◽  
pp. 2149-2154 ◽  
Author(s):  
Z. HABA
Keyword(s):  
Finite Field ◽  
Current Algebra ◽  
Functional Integration ◽  
Functional Integral ◽  
Renormalization Scheme ◽  
Ward Identities ◽  
Field Renormalization

The functional integral in the WZW SL(2, C)/SU(2) model leads to a Liouville term, which depends on the renormalization scheme. We set the Liouville term equal to zero. We show that a finite field renormalization is required, if the Ward identities are to be compatible with the functional integral without the Liouville term.

scholarly journals Currents, charges and algebras in exceptional generalised geometry

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
David Osten
Keyword(s):  
Current Algebra ◽  
Hamiltonian Formulation ◽  
Building Blocks ◽  
Lie Derivative ◽  
Consistency Check ◽  
World Volume ◽  
Invariant Currents ◽  
Invariant Current ◽  
M Theory ◽  
A Current

Abstract A classical Ed(d)-invariant Hamiltonian formulation of world-volume theories of half-BPS p-branes in type IIb and eleven-dimensional supergravity is proposed, extending known results to d ≤ 6. It consists of a Hamiltonian, characterised by a generalised metric, and a current algebra constructed s.t. it reproduces the Ed(d) generalised Lie derivative. Ed(d)-covariance necessitates the introduction of so-called charges, specifying the type of p-brane and the choice of section. For p > 2, currents of p-branes are generically non- geometric due to the imposition of U-duality, e.g. the M5-currents contain coordinates associated to the M2-momentum.A derivation of the Ed(d)-invariant current algebra from a canonical Poisson structure is in general not possible. At most, one can derive a current algebra associated to para-Hermitian exceptional geometry.The membrane in the SL(5)-theory is studied in detail. It is shown that in a generalised frame the current algebra is twisted by the generalised fluxes. As a consistency check, the double dimensional reduction from membranes in M-theory to strings in type IIa string theory is performed. Many features generalise to p-branes in SL(p + 3) generalised geometries that form building blocks for the Ed(d)-invariant currents.

scholarly journals Ward identities in dual string theories

1986 ◽  
Vol 167 (4) ◽  
pp. 388-392 ◽  
Author(s):  
G. Veneziano
Keyword(s):  
Ward Identities ◽  
String Theories
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