scholarly journals Tricritical behavior of two-dimensional scalar field theories

1995 ◽  
Vol 52 (13) ◽  
pp. 9151-9154 ◽  
Author(s):  
M. Asorey ◽  
J. G. Esteve ◽  
F. Falceto ◽  
J. Salas
Keyword(s):  
Scalar Field ◽  
Field Theories ◽  
Two Dimensional ◽  
Tricritical Behavior

scholarly journals Soliton, breather and shockwave solutions of the Heisenberg and the $$ T\overline{T} $$ deformations of scalar field theories in 1+1 dimensions

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Horatiu Nastase ◽  
Jacob Sonnenschein
Keyword(s):  
Scalar Field ◽  
Soliton Solutions ◽  
High Energy ◽  
Field Theories ◽  
Two Dimensional ◽  
Canonical Scalar Field

Abstract In this note we study soliton, breather and shockwave solutions in certain two dimensional field theories. These include: (i) Heisenberg’s model suggested originally to describe the scattering of high energy nucleons (ii) $$ T\overline{T} $$ T T ¯ deformations of certain canonical scalar field theories with a potential. We find explicit soliton solutions of these models with sine-Gordon and Higgs-type potentials. We prove that the $$ T\overline{T} $$ T T ¯ deformation of a theory of a given potential does not correct the mass of the soliton of the undeformed one. We further conjecture the form of breather solutions of these models. We show that certain $$ T\overline{T} $$ T T ¯ deformed actions admit shockwave solutions that generalize those of Heisenberg’s Lagrangian.

scholarly journals NOTE ON TWO-DIMENSIONAL GAUGED LIFSHITZ MODELS

2011 ◽  
Vol 26 (37) ◽  
pp. 2755-2760 ◽  
Author(s):  
EDWIN J. SON ◽  
WONTAE KIM
Keyword(s):  
Scalar Field ◽  
Dispersion Relations ◽  
Field Theories ◽  
Two Dimensional ◽  
Scalar Theories

We fermionize the two-dimensional free Lifshitz scalar field in order to identify what the gauge-covariant couplings are, and then they are bosonized back to get the gauged Lifshitz scalar field theories. We show that they give the same physical modes with those of the corresponding Lorentz invariant gauged scalar theories, although the dispersion relations are different.

scholarly journals Effective light-front quantization of scalar field theories and two-dimensional electrodynamics

1995 ◽  
Vol 51 (6) ◽  
pp. 2933-2942 ◽  
Author(s):  
E. V. Prokhvatilov ◽  
H. W. L. Naus ◽  
H.-J. Pirner
Keyword(s):  
Scalar Field ◽  
Light Front ◽  
Field Theories ◽  
Two Dimensional ◽  
Light Front Quantization

LIGHT-CONE QUANTIZATION OF SCALAR FIELD

1993 ◽  
Vol 08 (33) ◽  
pp. 3165-3172 ◽  
Author(s):  
LIU CHAO
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Light Cone ◽  
Free Field ◽  
Field Theories ◽  
Two Dimensional ◽  
Conformal Field Theories ◽  
Conformal Field ◽  
Light Cone Quantization ◽  
Left And Right

The light-cone quantization of two-dimensional one-component self-interacting scalar field theory is discussed using the Dirac method. Several subtleties are pointed out. In particular, it is found that the left and right quantization are not essentially equivalent, at least for the free field case, and that there is a Virasoro current algebra for every non-trivially self-interacting field theories which show that all the nonconformally interacting two-dimensional field theory can be considered as the off-critical perturbation of conformal field theories.

scholarly journals BMS field theories and Weyl anomaly

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Arjun Bagchi ◽  
Sudipta Dutta ◽  
Kedar S. Kolekar ◽  
Punit Sharma
Keyword(s):  
Three Dimensions ◽  
Field Theories ◽  
Partition Functions ◽  
Two Dimensional ◽  
Speed Of Light ◽  
Asymptotically Flat ◽  
Weyl Invariance ◽  
Flat Spacetimes ◽  
Liouville Action ◽  
Null Surfaces

Abstract Two dimensional field theories with Bondi-Metzner-Sachs symmetry have been proposed as duals to asymptotically flat spacetimes in three dimensions. These field theories are naturally defined on null surfaces and hence are conformal cousins of Carrollian theories, where the speed of light goes to zero. In this paper, we initiate an investigation of anomalies in these field theories. Specifically, we focus on the BMS equivalent of Weyl invariance and its breakdown in these field theories and derive an expression for Weyl anomaly. Considering the transformation of partition functions under this symmetry, we derive a Carrollian Liouville action different from ones obtained in the literature earlier.

scholarly journals Defects and perturbation

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Enrico M. Brehm
Keyword(s):  
Entanglement Entropy ◽  
Topological Defects ◽  
Field Theories ◽  
Two Dimensional ◽  
Conformal Field Theories ◽  
Minimal Models ◽  
Conformal Field

Abstract We investigate perturbatively tractable deformations of topological defects in two-dimensional conformal field theories. We perturbatively compute the change in the g-factor, the reflectivity, and the entanglement entropy of the conformal defect at the end of these short RG flows. We also give instances of such flows in the diagonal Virasoro and Super-Virasoro Minimal Models.

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