Two-loop quantum corrections to the soliton mass in two-dimensional scalar field theories

1976 ◽  
Vol 115 (3) ◽  
pp. 411-428 ◽  
Author(s):  
H.J. Vega
Keyword(s):  
Scalar Field ◽  
Field Theories ◽  
Quantum Corrections ◽  
Two Dimensional

scholarly journals NLO critical exponents of O(N) λ ϕ4 scalar field theories in curved spacetime

2019 ◽  
Vol 28 (01) ◽  
pp. 1950024
Author(s):  
H. A. S. Costa ◽  
P. R. S. Carvalho
Keyword(s):  
Scalar Field ◽  
Critical Exponents ◽  
Conformal Symmetry ◽  
Field Theories ◽  
Quantum Corrections ◽  
Leading Order ◽  
Loop Order ◽  
Curved Spacetime ◽  
Flat Spacetime

In this paper, we investigate analytically the conformal symmetry influence on the next-to-leading order radiative quantum corrections to critical exponents for massless O([Formula: see text]) [Formula: see text] scalar field theories in curved spacetime. We renormalize the theory by applying the Bogoliubov–Parasyuk–Hepp–Zimmermann (BPHZ) method. We find that the critical exponents are the same as that of flat spacetime, at least at the loop order considered. We argue that this result agrees perfectly with the universality hypothesis.

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

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 Influence of exact Lorentz-violating mechanism on the critical exponents for massive q-deformed λϕ4 scalar field theory

2019 ◽  
Vol 28 (08) ◽  
pp. 1950105
Author(s):  
P. R. S. Carvalho ◽  
M. I. Sena-Junior
Keyword(s):  
Scalar Field ◽  
Critical Exponents ◽  
Field Theories ◽  
Quantum Corrections ◽  
Leading Order ◽  
Independent Field ◽  
Group Methods ◽  
Breaking Mechanism ◽  
Lorentz Symmetry Breaking ◽  
Renormalization Group Methods

We probe the influence of Lorentz-violating mechanism, treated exactly, on the radiative quantum corrections to critical exponents for massive [Formula: see text]-deformed O([Formula: see text]) [Formula: see text] scalar field theories. We attain that task by employing three distinct and independent field-theoretic renormalization group methods. Firstly, we compute the critical exponents up to the finite next-to-leading order for then generalizing the results for any loop level. We show that the [Formula: see text]-deformed critical exponents are insensible to the Lorentz symmetry breaking mechanism thus agreeing with the universality hypothesis.

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 Unconventional minimal subtraction and Callan–Symanzik methods for Lorentz-violating scalar field theories at all loop orders

2018 ◽  
Vol 15 (05) ◽  
pp. 1850086 ◽  
Author(s):  
G. S. Silva ◽  
P. R. S. Carvalho
Keyword(s):  
Scalar Field ◽  
Critical Exponents ◽  
Field Theories ◽  
Quantum Corrections ◽  
Leading Order ◽  
Minimal Subtraction ◽  
Analytical Computation ◽  
Induction Process ◽  
Time In Literature ◽  
First Time

We present an explicit analytical computation of the quantum corrections, at next-to-leading order, to the critical exponents. We employ for that the Unconventional minimal subtraction, recently proposed, and the Callan–Symanzik methods to probe the universality hypothesis by comparing the outcomes for the critical exponents evaluated in both methods and the ones calculated previously in massless theories renormalized at different renormalization schemes. Furthermore, the consistency of the former method is investigated for the first time in literature, to our knowledge. At the end, we compute the critical exponents at any loop level by an induction process and furnish the physical interpretation of the results.

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.

Sign in / Sign up

Export Citation Format

Share Document