scholarly journals Weighted scale invariant quantum field theories

2008 ◽  
Vol 2008 (02) ◽  
pp. 051-051 ◽  
Author(s):  
Damiano Anselmi
Keyword(s):  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Scale Invariant ◽  
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 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 This is a nontrivial step, since the separation in positive and negative frequency terms is no longer valid in TFD.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.

scholarly journals Twisted Poincaré invariant quantum field theories

2008 ◽  
Vol 77 (2) ◽  
Author(s):  
A. P. Balachandran ◽  
A. Pinzul ◽  
B. A. Qureshi
Keyword(s):  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Invariant Quantum
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