scholarly journals INTERACTION OF d=2, c=1 DISCRETE STATES FROM STRING FIELD THEORY

1993 ◽  
Vol 08 (23) ◽  
pp. 2167-2176 ◽  
Author(s):  
I. YA. AREF’EVA ◽  
P.B. MEDVEDEV ◽  
A.P. ZUBAREV
Keyword(s):  
Field Theory ◽  
String Field Theory ◽  
Effective Action ◽  
2D Gravity ◽  
Ward Identities ◽  
Discrete States ◽  
Pole Structure

Starting from string field theory for 2D gravity coupled to c=1 matter we analyze the off-shell tree amplitudes of discrete states. The amplitudes exhibit the pole structure and we use the off-shell calculus to extract the residues and prove that only the residues are constrained by the Ward identities. The residues generate a simple effective action.

scholarly journals N-POINT AMPLITUDES FOR d=2, c=1 DISCRETE STATES FROM STRING FIELD THEORY

1995 ◽  
Vol 10 (30) ◽  
pp. 2225-2237
Author(s):  
I. YA. AREF’EVA ◽  
A.P. ZUBAREV ◽  
P.B. MEDVEDEV
Keyword(s):  
Field Theory ◽  
String Field Theory ◽  
Effective Action ◽  
Oscillator Representation ◽  
Discrete States ◽  
Field Action ◽  
Pole Structure

Starting from string field theory for 2-D gravity coupled to c=1 matter we analyze N-point off-shell tree amplitudes of discrete states. The amplitudes exhibit the pole structure and we use the oscillator representation to extract the residues. The residues are generated by a simple effective action. We show that the effective action can be directly deduced from a string field action in a special transversal-like gauge.

scholarly journals Form factor decompositions of the QCD four - gluon vertex

2018 ◽  
Vol 182 ◽  
pp. 02114 ◽  
Author(s):  
Naser Ahmadiniaz ◽  
Christian Schubert
Keyword(s):  
Field Theory ◽  
Form Factor ◽  
Effective Action ◽  
The Other ◽  
Integration By Parts ◽  
Ward Identities ◽  
Gauge Invariant ◽  
Gluon Vertex ◽  
Invariant Structures ◽  
String Amplitudes

The Bern-Kosower formalism, originally developed around 1990 as a novel way of obtaining on-shell amplitudes in field theory as limits of string amplitudes, has recently been shown to be extremely effcient as a tool for obtaining form factor decompositions of the N - gluon vertices. Its main advantages are that gauge invariant structures can be generated by certain systematic integration-by-parts procedures, making unnecessary the usual tedious analysis of the non-abelian off-shell Ward identities, and that the scalar, spinor and gluon loop cases can be treated in a unified way. After discussing the method in general for the N - gluon case, I will show in detail how to rederive the Ball- Chiu decomposition of the three - gluon vertex, and finally present two slightly different decompositions of the four - gluon vertex, one generalizing the Ball Chiu one, the other one closely linked to the QCD effective action.

Effective action for string field theory

1989 ◽  
Vol 229 (1-2) ◽  
pp. 37-40 ◽  
Author(s):  
S.A. Frolov
Keyword(s):  
Field Theory ◽  
String Field Theory ◽  
Effective Action

scholarly journals INTERACTIONS OF DISCRETE STATES WITH NONZERO GHOST NUMBER IN c = 1 2D GRAVITY

1992 ◽  
Vol 07 (29) ◽  
pp. 2723-2730 ◽  
Author(s):  
NOBUYOSHI OHTA ◽  
HISAO SUZUKI
Keyword(s):  
Quantum Gravity ◽  
Vertex Operator ◽  
Effective Action ◽  
2D Gravity ◽  
Ghost Number ◽  
Two Dimensional ◽  
Discrete States ◽  
Structure Constants ◽  
Area Preserving ◽  
Operator Representations

We study the interactions of the discrete states with nonzero ghost number in c = 1 two-dimensional (2D) quantum gravity. By using the vertex operator representations, it is shown that their interactions are given by the structure constants of the group of the area preserving diffeomorphism similar to those of vanishing ghost number. The effective action for these states is also worked out. The result suggests that the whole system has a BRST-like symmetry.

MATRIX MODELS AND GAUGE-INVARIANT FIELD THEORY OF SUBCRITICAL STRINGS

1992 ◽  
Vol 07 (11) ◽  
pp. 2559-2588 ◽  
Author(s):  
ASHOKE SEN
Keyword(s):  
Field Theory ◽  
Partition Function ◽  
Matrix Models ◽  
Matrix Model ◽  
String Field Theory ◽  
Correlation Functions ◽  
Ward Identities ◽  
Gauge Invariant ◽  
The Matrix

A gauge-invariant interacting field theory of subcritical closed strings is constructed. It is shown that for d ≤ 1 this field theory reproduces many of the features of the corresponding matrix model. Among them are the scaling dimensions of the relevant primary fields, identities involving the correlation functions of some of the redundant operators in the matrix model, and the flow between different matrix models under appropriate perturbation. In particular, it is shown that some of the constraints on the partition function derived recently by Dijkgraaf et al. and Fukuma et al. may be interpreted as Ward identities in string field theory.

scholarly journals SEMI-FREE FIELD REPRESENTATION AND STRING FIELD THEORY IN 2D GRAVITY

1992 ◽  
Vol 07 (08) ◽  
pp. 677-687 ◽  
Author(s):  
I. YA. AREF’EVA ◽  
A.P. ZUBAREV
Keyword(s):  
Field Theory ◽  
String Field Theory ◽  
2D Gravity ◽  
Free Field ◽  
Interesting Property ◽  
Closed String ◽  
Matter Field ◽  
Field Representation ◽  
Interaction Term ◽  
String Amplitudes

String field theory for 2D gravity coupled to a c=1 matter field is described. We use the free field representation and take into account the semi-bounded of the Liouville mode in the last step of calculations. We call such representation semi-free field representation. It is shown that the Witten string field theory gives a tachyon action which up to some, factor in the interaction term coincides with the Das-Jevicki-Polchinski action. Starting from string field theory with semi-free field representation we calculate string amplitudes. These amplitudes instead of energy conservation δ-functions contain energy denominators which residues coincide with the Veneziano (Shapiro-Virasoro) amplitudes for open (closed) string and exhibit very interesting property: the s, t and u poles become the poles in respect to individual external momentum. These poles are related with higher levels excitations living only with fixed momentum.

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