Supersymmetry anomalies and analytic regularization

1988 ◽  
Vol 66 (5) ◽  
pp. 419-427 ◽  
Author(s):  
H. C. Lee ◽  
Q. Ho-Kim ◽  
F. Q. Liu
Keyword(s):  
Energy Momentum Tensor ◽  
Axial Current ◽  
Momentum Tensor ◽  
Tensor Algebras ◽  
Loop Level ◽  
Analytic Regularization ◽  
The One

The method of analytic regularization in which the number of dimensions is not generalized is shown to preserve the supersymmetry identity relating the anomalies of the supersymmetry current, the trace of the energy–momentum tensor, and the divergence of the axial current at the one-loop level. Explicit counterterms needed for the identity to hold are constructed. The method preserves Dirac and all other tensor algebras in D = 4 space and renders the computation of anomalies straightforward and simple.

scholarly journals Spinor field in Bianchi type-IX space–time

2018 ◽  
Vol 96 (10) ◽  
pp. 1074-1084
Author(s):  
Bijan Saha
Keyword(s):  
Spinor Field ◽  
Bianchi Type ◽  
Energy Momentum Tensor ◽  
Early Stage ◽  
Momentum Tensor ◽  
Space Time ◽  
Rapid Expansion ◽  
Coupling Constant ◽  
The One

Within the scope of Bianchi type-IX cosmological model we have studied the role of spinor field in the evolution of the Universe. It is found that unlike the diagonal Bianchi models in this case the components of energy–momentum tensor of spinor field along the principal axis are not the same (i.e., [Formula: see text]), even in the absence of spinor field nonlinearity. The presence of nontrivial non-diagonal components of energy–momentum tensor of the spinor field imposes severe restrictions both on geometry of space–time and on the spinor field itself. As a result the space–time turns out to be either locally rotationally symmetric or isotropic. In this paper we considered the Bianchi type-IX space–time both for a trivial b, that corresponds to standard Bianchi type-IX and the one with a non-trivial b. It was found that a positive self-coupling constant λ1 gives rise to an oscillatory mode of expansion, while a trivial λ1 leads to rapid expansion at the early stage of evolution.

scholarly journals The renormalization group and the effective action

2011 ◽  
Vol 89 (3) ◽  
pp. 277-280 ◽  
Author(s):  
D. G.C. McKeon
Keyword(s):  
Renormalization Group ◽  
Scalar Field ◽  
Gauge Field ◽  
Effective Potential ◽  
Effective Action ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
The One ◽  
External Gauge

The renormalization group is used to sum the leading-log (LL) contributions to the effective action for a large constant external gauge field in terms of the one-loop renormalization group (RG) function β, the next-to-leading-log (NLL) contributions in terms of the two-loop RG function, etc. The log-independent pieces are not determined by the RG equation, but can be fixed by considering the anomaly in the trace of the energy-momentum tensor. Similar considerations can be applied to the effective potential V for a scalar field [Formula: see text]; here the log-independent pieces are fixed by the condition [Formula: see text].

scholarly journals Inverse problem: What can we tell about the matter and energy in our Universe from its dimensionality and evolution

2018 ◽  
Vol 27 (07) ◽  
pp. 1841005
Author(s):  
Hanna Makaruk ◽  
James Langenbrunner
Keyword(s):  
Energy Momentum Tensor ◽  
Physical Space ◽  
Momentum Tensor ◽  
Einstein Equations ◽  
Time Dimension ◽  
Superstring Theory ◽  
Anisotropic Energy ◽  
The One ◽  
Multidimensional Models ◽  
Additional Space

The most popular theories of everything are various versions of the superstring theory. The theories require existence of additional space dimensions, vibrations of which create the material particles in [Formula: see text] space. The additional space dimensions are understood as being currently smaller than the Planck Length and due to this not directly observable. We search for multidimensional models of the Universe (one time dimension; three isotropic, flat external dimensions, and [Formula: see text]-internal dimensions), which satisfy the multidimensional Einstein equations and which started from the same radius of all of the internal and external dimensions, with an anisotropic energy–momentum tensor. Analytical solution of [Formula: see text]-dimensional Einstein equation in a reparameterized time is reminded and discussed. The energy–momentum tensor is solely responsible for expansion of the external dimensions and shrinking of the internal ones; and to obtain this behavior of the space the tensor needs to fulfill some conditions i.e. the energy–momentum tensor cannot include only radiation, vacuum and baryonic matter. For the behavior of the physical space consistent with the one observed in our Universe, the dark energy and/or dark matter have to exist.

scholarly journals A falling magnetic monopole as a holographic local quench

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Nicolò Zenoni ◽  
Roberto Auzzi ◽  
Stefania Caggioli ◽  
Maria Martinelli ◽  
Giuseppe Nardelli
Keyword(s):  
Black Hole ◽  
Boundary Conditions ◽  
Functional Form ◽  
Magnetic Monopole ◽  
Energy Momentum Tensor ◽  
Entanglement Entropy ◽  
Momentum Tensor ◽  
Negative Contribution ◽  
Monopole Solution ◽  
The One

Abstract An analytic static monopole solution is found in global AdS4, in the limit of small backreaction. This solution is mapped in Poincaré patch to a falling monopole configuration, which is dual to a local quench triggered by the injection of a condensate. Choosing boundary conditions which are dual to a time-independent Hamiltonian, we find the same functional form of the energy-momentum tensor as the one of a quench dual to a falling black hole. On the contrary, the details of the spread of entanglement entropy are very different from the falling black hole case, where the quench induces always a higher entropy compared to the vacuum, i.e. ∆S > 0. In the propagation of entanglement entropy for the monopole quench, there is instead a competition between a negative contribution to ∆S due to the scalar condensate and a positive one carried by the freely propagating quasiparticles generated by the energy injection.

COLD DENSE FERMIONIC MATTER IN THE ELECTROWEAK THEORY: ANISOTROPIC W-BOSON CONDENSATE AT B≠L

1988 ◽  
Vol 03 (05) ◽  
pp. 1199-1234 ◽  
Author(s):  
D.V. DERYAGIN ◽  
D. YU. GRIGORIEV ◽  
V.A. RUBAKOV
Keyword(s):  
Effective Potential ◽  
W Boson ◽  
Energy Momentum Tensor ◽  
Baryon Number ◽  
Momentum Tensor ◽  
High Density ◽  
Electroweak Theory ◽  
Anisotropic Part ◽  
The One

The one loop effective potential of cold dense fermionic matter is calculated in the standard electroweak theory. It is shown that the anisotropic W-boson condensate is formed at sufficiently high density and B≠L. The anisotropic part of the energy-momentum tensor is calculated for this state. It is shown that this state is metastable, the instability being due to the electroweak baryon number violating transitions.

scholarly journals Some remarks on the use of effective Lagrangians in QED and QCD

2015 ◽  
Vol 30 (18n19) ◽  
pp. 1530046
Author(s):  
Walter Dittrich
Keyword(s):  
Energy Momentum Tensor ◽  
Proper Time ◽  
Momentum Tensor ◽  
Qcd Vacuum ◽  
Loop Approximation ◽  
Feynman Graphs ◽  
Cast Doubt ◽  
Color Field ◽  
The One

We discuss in this paper the usefulness of the effective Lagrangians [Formula: see text] of QED and QCD within the one-loop approximation. Instead of calculating [Formula: see text] via complicated computations with Schwinger’s proper-time technique or Feynman graphs, we prefer to employ the energy–momentum tensor and the leading-log model. The advantage is that we do not have to demand the external electromagnetic or color field to be constant. There are also some critical remarks added which cast doubt on the use of [Formula: see text] with covariant constant fields in explaining the nature of the QCD vacuum.

CASIMIR EFFECT FOR THE ROBIN SURFACES IN STATIC ROBERTSON–WALKER SPACE–TIME

2011 ◽  
Vol 20 (02) ◽  
pp. 161-168 ◽  
Author(s):  
MOHAMMAD R. SETARE ◽  
M. DEHGHANI
Keyword(s):  
Scalar Field ◽  
Energy Momentum Tensor ◽  
Casimir Effect ◽  
Vacuum Expectation ◽  
Robin Boundary Condition ◽  
Momentum Tensor ◽  
Space Time ◽  
Conformally Invariant ◽  
Time Space ◽  
Robin Boundary

We investigate the energy–momentum tensor for a massless conformally coupled scalar field in the region between two curved surfaces in k = -1 static Robertson–Walker space–time. We assume that the scalar field satisfies the Robin boundary condition on the surfaces. Robertson–Walker space–time space is conformally related to Rindler space; as a result we can obtain vacuum expectation values of the energy–momentum tensor for a conformally invariant field in Robertson–Walker space–time space from the corresponding Rindler counterpart by the conformal transformation.

scholarly journals Cutoff AdS3 versus $$ T\overline{T} $$ CFT2 in the large central charge sector: correlators of energy-momentum tensor

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Yi Li ◽  
Yang Zhou
Keyword(s):  
Field Theory ◽  
Euclidean Plane ◽  
Energy Momentum Tensor ◽  
Central Charge ◽  
Momentum Tensor ◽  
Two Dimensional ◽  
Conformal Field ◽  
Operator Identity ◽  
Pure Gravity ◽  
Charge Sector

Abstract In this article we probe the proposed holographic duality between $$ T\overline{T} $$ T T ¯ deformed two dimensional conformal field theory and the gravity theory of AdS3 with a Dirichlet cutoff by computing correlators of energy-momentum tensor. We focus on the large central charge sector of the $$ T\overline{T} $$ T T ¯ CFT in a Euclidean plane and a sphere, and compute the correlators of energy-momentum tensor using an operator identity promoted from the classical trace relation. The result agrees with a computation of classical pure gravity in Euclidean AdS3 with the corresponding cutoff surface, given a holographic dictionary which identifies gravity parameters with $$ T\overline{T} $$ T T ¯ CFT parameters.

Sign in / Sign up

Export Citation Format

Share Document