UNDERSTANDING FUJIKAWA REGULATORS FROM PAULI-VILLARS REGULARIZATION OF GHOST LOOPS

1989 ◽  
Vol 04 (15) ◽  
pp. 3959-3982 ◽  
Author(s):  
A. DIAZ ◽  
W. TROOST ◽  
P. VAN NIEUWENHUIZEN ◽  
A. Van PROEYEN
Keyword(s):  
Gravitational Field ◽  
Bosonic String ◽  
Ghost Number ◽  
Two Dimensional ◽  
Mass Terms ◽  
Brst Invariance ◽  
Villars Regularization

We construct mass terms for the ghost and antighost in the bosonic string which preserve coordinate BRST invariance. This allows us to compute the Weyl and ghost number anomalies with Pauli-Villars regularization. An algorithm is derived for the construction of those regulators in the Fujikawa scheme which yield consistent anomalies. In the formulation with the BRST auxiliary fields we find that the nonpropagating two-dimensional gravitational field must be regulated in the same way as the antighost. It contributes the same amount to the anomaly as the antighosts do when one eliminates the auxiliary fields.

scholarly journals Physical account of Weyl anomaly from Dirac Sea

2015 ◽  
Vol 30 (25) ◽  
pp. 1550147
Author(s):  
Yoshinobu Habara ◽  
Holger B. Nielsen ◽  
Masao Ninomiya
Keyword(s):  
Gravitational Field ◽  
Regularization Method ◽  
Energy Momentum Tensor ◽  
Dimensional Space ◽  
Momentum Tensor ◽  
Space Time ◽  
Two Dimensional ◽  
Dimensional Space Time ◽  
Dirac Sea ◽  
Mass Terms

We rederive in a physical manner the Weyl anomaly in two-dimensional space–time by considering the Dirac Sea. It is regularized by some bosonic extra species which are formally negatively counted. In fact, we calculate the trace of the energy–momentum tensor in the Dirac Sea in presence of background gravitational field. It has to be regularized, since the Dirac Sea is bottomless and thus causes divergence. The new regularization method consists in adding various massive bosonic species some of which are to be counted negative in the Dirac Sea. The mass terms in the Lagrangian of the regularization fields have a dependence on the background gravitational field.

scholarly journals D = 26 AND EXACT SOLUTION TO THE CONFORMAL-GAUGE TWO-DIMENSIONAL QUANTUM GRAVITY

1999 ◽  
Vol 14 (04) ◽  
pp. 521-536 ◽  
Author(s):  
MITSUO ABE ◽  
NOBORU NAKANISHI
Keyword(s):  
Exact Solution ◽  
Field Equation ◽  
Quantum Gravity ◽  
Critical Dimension ◽  
Bosonic String ◽  
Ghost Number ◽  
Conformal Anomaly ◽  
Two Dimensional ◽  
Heisenberg Picture ◽  
Conformal Gauge

The conformal-gauge two-dimensional quantum gravity is formulated in the framework of the BRS quantization and solved completely in the Heisenberg picture: all n-point Wightman functions are explicitly obtained. The field-equation anomaly is shown to exist as in other gauges, but there is no other subtlety. At the critical dimension D = 26 of the bosonic string, the field-equation anomaly is shown to be absent. However, this result is not equivalent to the statement that the conformal anomaly is proportional to D - 26. The existence of the FP-ghost number current anomaly is seen to be an illusion.

A one-dimensional self-gravitating stellar gas

1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar
Keyword(s):  
Gravitational Field ◽  
Phase Space ◽  
Motion Picture ◽  
Space Distribution ◽  
Two Dimensional ◽  
One Dimensional ◽  
Phase Space Distribution ◽  
Dimensional Phase Space ◽  
The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

scholarly journals A TOY MODEL OF CLOSED STRING TACHYON EFFECTIVE ACTION

2005 ◽  
Vol 20 (07) ◽  
pp. 1481-1493
Author(s):  
J. KLUSOŇ
Keyword(s):  
Exact Solution ◽  
String Theory ◽  
Effective Action ◽  
Flat Space ◽  
Closed String ◽  
Space Time ◽  
Bosonic String ◽  
Two Dimensional ◽  
Linear Dilaton ◽  
Bosonic String Theory

In this paper we propose the toy model of the closed string tachyon effective action that has marginal tachyon profile as its exact solution in case of constant or linear dilaton background. Then we will apply this model for description of two-dimensional bosonic string theory. We will find that the background configuration with the spatial dependent linear dilaton, flat space–time metric and marginal tachyon profile is the exact solution of our model even if we take into account backreaction of tachyon on dilaton and on metric.

scholarly journals FERMIONIC SUBSPACES OF THE BOSONIC STRING

2004 ◽  
Vol 19 (supp02) ◽  
pp. 117-125
Author(s):  
A. CHATTARAPUTI ◽  
F. ENGLERT ◽  
L. HOUART ◽  
A. TAORMINA
Keyword(s):  
Field Theory ◽  
Hilbert Space ◽  
Group Theory ◽  
Conformal Field Theory ◽  
Crucial Role ◽  
Predictive Power ◽  
Bosonic String ◽  
Two Dimensional ◽  
Conformal Field ◽  
Fermionic String

A universal symmetric truncation of the bosonic string Hilbert space yields all known closed fermionic string theories in ten dimensions, their D-branes and their open descendants. We highlight the crucial role played by group theory and two-dimensional conformal field theory in the construction and emphasize the predictive power of the truncation. Such circumstantial evidence points towards the existence of a mechanism which generates space-time fermions out of bosons dynamically within the framework of bosonic string theory.

scholarly journals BRST INVARIANCE OF NONLOCAL CHARGES AND MONODROMY MATRIX OF BOSONIC STRING ON AdS5×S5

2007 ◽  
Vol 22 (12) ◽  
pp. 2239-2263 ◽  
Author(s):  
J. KLUSOŇ
Keyword(s):  
Monodromy Matrix ◽  
Bosonic String ◽  
Chiral Model ◽  
Hamiltonian Method ◽  
Principal Chiral Model ◽  
Brst Invariance

Using the generalized Hamiltonian method of Batalin, Fradkin and Vilkovsky we develop the BRST formalism for the bosonic string on AdS 5× S 5 formulated as principal chiral model. Then we show that the monodromy matrix and nonlocal charges are BRST invariant.

Splitting of a two-dimensional liquid plug at an airway bifurcation

2016 ◽  
Vol 793 ◽  
pp. 1-20 ◽  
Author(s):  
Benjamin L. Vaughan ◽  
James B. Grotberg
Keyword(s):  
Gravitational Field ◽  
Capillary Number ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Medical Treatments ◽  
Liquid Plug ◽  
Splitting Ratio ◽  
Critical Capillary Number ◽  
Airway Walls ◽  
Airway Bifurcation

Certain medical treatments involve the introduction of exogenous liquids in the lungs. These liquids can form plugs within the airways. The plugs propagate throughout the branching network in the lungs being forced by airflow. They leave a deposited film on the airway walls and split at bifurcations. Understanding the resulting distribution of liquid throughout the lungs is important for the effective administration of the prescribed treatments. In this paper, we investigate numerically the splitting of a liquid plug by a two-dimensional pulmonary bifurcation under the influence of a transverse gravitational field. The splitting is characterized by the splitting ratio, which is the ratio of volume of the liquid plug in the daughter channels and depends on the capillary number and the orientation of the bifurcation plane with respect to a three-dimensional gravitational field. It is observed that gravity induces asymmetry in the splitting, causing the splitting ratio to be reduced. This effect is mitigated as the capillary number is increased. It is also observed that there exists a critical capillary number where the plug will not split and will instead propagate entirely into the gravitationally favoured daughter channel. We also compute the wall stresses on the bifurcation walls and observe the locations where stresses and their gradients are the highest in magnitude.

Sign in / Sign up

Export Citation Format

Share Document