Superconformal and super KAC-moody invariant quantum field theories in two dimensions

1987 ◽  
Vol 187 (3-4) ◽  
pp. 340-346 ◽  
Author(s):  
Soonkeon Nam
Keyword(s):  
Two Dimensions ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Invariant Quantum

A class of conformally invariant quantum field theories

1983 ◽  
Vol 125 (4) ◽  
pp. 301-304 ◽  
Author(s):  
E. Braaten ◽  
T. Curtright ◽  
G. Ghandour ◽  
C. Thorn
Keyword(s):  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Conformally Invariant ◽  
Invariant Quantum

scholarly journals A generalized Nachtmann theorem in CFT

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Sandipan Kundu
Keyword(s):  
Two Dimensions ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Convexity Theorem ◽  
Regge Behavior ◽  
Lorentzian Signature ◽  
The Family ◽  
General Constraints ◽  
Twist Operators

Abstract Correlators of unitary quantum field theories in Lorentzian signature obey certain analyticity and positivity properties. For interacting unitary CFTs in more than two dimensions, we show that these properties impose general constraints on families of minimal twist operators that appear in the OPEs of primary operators. In particular, we rederive and extend the convexity theorem which states that for the family of minimal twist operators with even spins appearing in the reflection-symmetric OPE of any scalar primary, twist must be a monotonically increasing convex function of the spin. Our argument is completely non-perturbative and it also applies to the OPE of nonidentical scalar primaries in unitary CFTs, constraining the twist of spinning operators appearing in the OPE. Finally, we argue that the same methods also impose constraints on the Regge behavior of certain CFT correlators.

scholarly journals THERMOFIELD DYNAMICS FOR TWISTED POINCARÉ-INVARIANT FIELD THEORIES: WICK THEOREM AND S-MATRIX

2011 ◽  
Vol 26 (15) ◽  
pp. 2569-2589 ◽  
Author(s):  
MARCELO LEINEKER ◽  
AMILCAR R. QUEIROZ ◽  
ADEMIR E. SANTANA ◽  
CHRYSTIAN DE ASSIS SIQUEIRA
Keyword(s):  
Field Theory ◽  
Finite Temperature ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
S Matrix ◽  
Scalar Quantum ◽  
Wick Theorem ◽  
Wick’S Theorem ◽  
Invariant Quantum

Poincaré invariant quantum field theories can be formulated on noncommutative planes if the statistics of fields is twisted. This is equivalent to state that the coproduct on the Poincaré group is suitably twisted. In the present work we present a twisted Poincaré invariant quantum field theory at finite temperature. For that we use the formalism of thermofield dynamics (TFD). This TFD formalism is extend to incorporate interacting fields. This is a nontrivial step, since the separation in positive and negative frequency terms is no longer valid in TFD. In particular, we prove the validity of Wick's theorem for twisted scalar quantum field at finite temperature.

GALILEI-INVARIANT QUANTUM FIELD THEORIES WITH PAIR INTERACTIONS: A REVIEW

1991 ◽  
Vol 06 (17) ◽  
pp. 2937-2970 ◽  
Author(s):  
HEiDE NARNHOFER ◽  
WALTER THIRRING
Keyword(s):  
Ergodic Theory ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Mixing Properties ◽  
Essential Condition ◽  
Classical Systems ◽  
Pair Potentials ◽  
Heisenberg Representation ◽  
Invariant Quantum

We exhibit a class of quantum field theories where particles interact with pair potentials and for which the time evolution exists in the Heisenberg representation. The essential condition for existence is stability in the thermodynamic sense and this is achieved by having the interaction fall off with the relative momenta of the particles. This can be done in a Galilei-invariant manner. We show that these systems have some mixing properties which one postulates in ergodic theory but which are difficult to prove for classical systems.

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