PHYSICAL STATES OF THE TOPOLOGICAL SCHWINGER MODEL

The Schwinger model with the strong coupling limit is studied as a topological field theory both in the path-integral and in the Hamiltonian formalism. The correlation functions between arbitrary numbers of physical operators are obtained. All the physical states in this model are completely determined in the Hamiltonian formalism. The relationship between a physical operator and the generator of a large gauge transformation is clarified. The chiral condensation is also calculated.

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PHYSICAL STATES OF THE CHIRAL SCHWINGER MODEL IN THE STRONG COUPLING LIMIT

Modern Physics Letters A ◽

10.1142/s0217732392001841 ◽

1992 ◽

Vol 07 (23) ◽

pp. 2101-2110

Author(s):

YUN SOO MYUNG ◽

YOUNG-JAI PARK ◽

CHANGKEUN JUE

Keyword(s):

Field Theory ◽

Gauge Symmetry ◽

Strong Coupling ◽

Physical State ◽

Strong Coupling Limit ◽

Topological Field Theory ◽

Schwinger Model ◽

Topological Field ◽

Left And Right ◽

Chiral Bosons

The bosonized chiral Schwinger model in the strong coupling limit is proposed for studying the physical states. With a Wess-Zumino term, we recover the broken-gauge symmetry to carry out the BRS quantization according to the value of the parameter a. For the case of a = 0, this reproduces chiral bosons (self-dual fields). In the cases of a = 1, 2, we find a physical state which propagates both in the directions of left and right. Therefore this model cannot be considered to be a topological field theory.

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PARTICLE CONTENT IN TOPOLOGICAL FIELD THEORIES

Modern Physics Letters A ◽

10.1142/s0217732394000058 ◽

1994 ◽

Vol 09 (01) ◽

pp. 29-39 ◽

Cited By ~ 1

Author(s):

ANDREW TOON

Keyword(s):

Field Theory ◽

Topological Field Theories ◽

Path Integral ◽

Degrees Of Freedom ◽

Field Theories ◽

Topological Field Theory ◽

Particle Content ◽

Integral Measure ◽

Topological Field ◽

Dimensionality Of Space

By demanding that the path-integral measure of the topological field theories be metric-independent, we can derive powerful constraints on the particle content of a topological field theory as well as on the dimensionality of space-time. We also relate this metric independence to the number of degrees of freedom in the theory.

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THE SCHWINGER MODEL ON A CIRCLE: RELATION BETWEEN PATH INTEGRAL AND HAMILTONIAN APPROACHES

International Journal of Modern Physics A ◽

10.1142/s0217751x06034264 ◽

2006 ◽

Vol 21 (32) ◽

pp. 6593-6619 ◽

Cited By ~ 8

Author(s):

S. AZAKOV

Keyword(s):

Path Integral ◽

Correlation Functions ◽

Hamiltonian Formalism ◽

Analytical Continuation ◽

Spectral Flow ◽

Integral Formalism ◽

Schwinger Model ◽

Path Integral Formalism

We solve the massless Schwinger model exactly in Hamiltonian formalism on a circle. We construct physical states explicitly and discuss the role of the spectral flow and nonperturbative vacua. Different thermodynamical correlation functions are calculated and after performing the analytical continuation are compared with the corresponding expressions obtained for the Schwinger model on the torus in Euclidean path integral formalism obtained before.

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A COMMENT ON TOPOLOGICAL FIELD THEORY QUANTIZATION AND STOCHASTIC PROCESSES

International Journal of Modern Physics A ◽

10.1142/s0217751x90001604 ◽

1990 ◽

Vol 05 (19) ◽

pp. 3777-3786 ◽

Cited By ~ 2

Author(s):

L.F. CUGLIANDOLO ◽

G. LOZANO ◽

H. MONTANI ◽

F.A. SCHAPOSNIK

Keyword(s):

Field Theory ◽

Equilibrium State ◽

Stochastic Processes ◽

Topological Field Theories ◽

Topological Charge ◽

Field Theories ◽

Langevin Equations ◽

Topological Field Theory ◽

Topological Field

We discuss the relation between different quantization approaches to topological field theories by deriving a connection between Bogomol’nyi and Langevin equations for stochastic processes which evolve towards an equilibrium state governed by the topological charge.

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Towards effective topological field theory for knots

Nuclear Physics B ◽

10.1016/j.nuclphysb.2015.08.005 ◽

2015 ◽

Vol 899 ◽

pp. 395-413 ◽

Cited By ~ 32

Author(s):

A. Mironov ◽

A. Morozov

Keyword(s):

Field Theory ◽

Topological Field Theory ◽

Topological Field

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TETRAHEDRA AND POLYNOMIAL EQUATIONS IN TOPOLOGICAL FIELD THEORY

International Journal of Modern Physics A ◽

10.1142/s0217751x91001738 ◽

1991 ◽

Vol 06 (20) ◽

pp. 3571-3598 ◽

Cited By ~ 1

Author(s):

NOUREDDINE CHAIR ◽

CHUAN-JIE ZHU

Keyword(s):

Field Theory ◽

Topological Field Theory ◽

Fundamental Representation ◽

Conformal Blocks ◽

Conformal Field ◽

Witten Theory ◽

Topological Field ◽

General Program ◽

The One ◽

Chern Simons

Some tetrahedra in SUk(2) Chern-Simons-Witten theory are computed. The results can be used to compute an arbitrary tetrahedron inductively by fusing with the fundamental representation. The results obtained are in agreement with those of quantum groups. By associating a (finite) topological field theory (FTFT) to every rational conformal field theory (RCFT), we show that the pentagon and hexagon equations in RCFT follow directly from some skein relations in FTFT. By generalizing the operation of surgery on links in FTFT, we also derive an explicit expression for the modular transformation matrix S(k) of the one-point conformal blocks on a torus in RCFT and the equations satisfied by S(k), in agreement with those required in RCFT. The implication of our results on the general program of classifying RCFT is also discussed.

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