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 THE PHYSICS OF 2D STRINGY SPACETIMES

1992 ◽  
Vol 01 (02) ◽  
pp. 335-354 ◽  
Author(s):  
G.W. GIBBONS ◽  
MALCOLM J. PERRY
Keyword(s):  
Black Hole ◽  
Scalar Field ◽  
String Theory ◽  
Nontrivial Solution ◽  
Heterotic String ◽  
Two Dimensional ◽  
Dilaton Field ◽  
Black Hole Spacetime ◽  
Canonical Scalar Field

We examine the two-dimensional spacetimes that emerge from string theory. We find all of the solutions with no tachyons, and show that the only nontrivial solution is the black-hole spacetime. We examine the role of duality in this picture. We then explore the thermodynamics of these solutions which is complicated by the fact that only in two spacetime dimensions is it impossible to redefine the dilaton field in terms of a canonical scalar field. Finally, we extend our analysis to the heterotic string, and briefly comment on exact, as opposed to perturbative, solutions.

scholarly journals EXACT S-MATRICES FOR AdS3/CFT2

2013 ◽  
Vol 28 (32) ◽  
pp. 1350168 ◽  
Author(s):  
CHANGRIM AHN ◽  
DIEGO BOMBARDELLI
Keyword(s):  
Bethe Ansatz ◽  
High Energy Phys ◽  
High Energy ◽  
Field Theories ◽  
Two Dimensional ◽  
Conformal Field Theories ◽  
Conformal Field

We propose exact S-matrices for the AdS 3/ CFT 2 duality between type IIB strings on AdS 3×S3×M4 with M4 = S3×S1 or T4 and the corresponding two-dimensional conformal field theories. We fix the two-particle S-matrices on the basis of the symmetries su(1|1) and su(1|1)×su(1|1). A crucial justification comes from the derivation of the all-loop Bethe ansatz matching exactly the recent conjecture proposed by Babichenko et al. [J. High Energy Phys.1003, 058 (2010), arXiv:0912.1723 [hep-th]] and Ohlsson Sax and Stefanski, Jr. [J. High Energy Phys.1108, 029 (2011), arXiv:1106.2558 [hep-th]].

SOLITONS IN TWO-DIMENSIONAL ANTI-DE SITTER SPACE

2010 ◽  
Vol 25 (02n03) ◽  
pp. 289-299
Author(s):  
TONNIS TER VELDHUIS
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Soliton Solution ◽  
Quantum Correction ◽  
Soliton Solutions ◽  
Two Dimensional ◽  
De Sitter ◽  
Fluctuation Spectrum ◽  
Background Space ◽  
The One

Soliton solutions in a scalar field theory defined on an AdS1+1 background space-time are investigated. An analytic soliton solution is obtained in a polynomial model, and the classical soliton mass is calculated. The fluctuation spectrum around the soliton solution is determined, and the one-loop quantum correction to the soliton mass is computed in the semi-classical approximation.

scholarly journals Non-compact superconformal field theory and mock modular forms

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Yuji Sugawara
Keyword(s):  
Field Theory ◽  
High Energy Phys ◽  
Modular Forms ◽  
High Energy ◽  
Field Theories ◽  
Two Dimensional ◽  
Superconformal Field Theories ◽  
Superconformal Field Theory ◽  
Mock Modular Forms ◽  
Mathematical Literature

Abstract One of interesting issues in two-dimensional superconformal field theories is the existence of anomalous modular transformation properties appearing in some non-compact superconformal models, corresponding to the “mock modularity” in mathematical literature. I review a series of my studies on this issue in collaboration with T. Eguchi, mainly focusing on T. Eguchi and Y. Sugawara, J. High Energy Phys. 1103, 107 (2011); J. High Energy Phys. 1411, 156 (2014); and Prog. Theor. Exp. Phys. 2016, 063B02 (2016).

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

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

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.

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