scholarly journals ON THE MULTILEVEL FIELD-ANTIFIELD FORMALISM WITH THE MOST GENERAL LAGRANGIAN HYPERGAUGES

1994 ◽  
Vol 09 (18) ◽  
pp. 1707-1715 ◽  
Author(s):  
I.A. BATALIN ◽  
I.V. TYUTIN
Keyword(s):  
Boundary Conditions ◽  
Master Equation ◽  
Quantum Master Equation ◽  
Lagrangian Surface ◽  
Functional Integrals

The multilevel field-antifield formalism is constructed in a geometrically covariant way without imposing the unimodularity conditions on the hypergauge functions. Thus the version given in Refs. 1 and 2 can be extended to cover the most general case of Lagrangian surface bases. It is shown that the extra measure factors, required to enter the gauge-independent functional integrals, can be included naturally into the multilevel scheme by modifying the boundary conditions to the quantum master equation.

scholarly journals EDGE CURRENTS AND VERTEX OPERATORS FOR CHERN-SIMONS GRAVITY

1993 ◽  
Vol 08 (04) ◽  
pp. 653-682 ◽  
Author(s):  
G. BIMONTE ◽  
K.S. GUPTA ◽  
A. STERN
Keyword(s):  
Boundary Conditions ◽  
Vertex Operator ◽  
Vacuum State ◽  
Space Time ◽  
Moody Algebra ◽  
Functional Integrals ◽  
Gravitational Fields ◽  
Dimensional Gravity ◽  
Discrete Mass ◽  
Chern Simons

We apply elementary canonical methods for the quantization of 2+1 dimensional gravity, where the dynamics is given by E. Witten’s ISO(2, 1) Chern-Simons action. As in a previous work, our approach does not involve choice of gauge or clever manipulations of functional integrals. Instead, we just require the Gauss law constraint for gravity to be first class and also to be everywhere differentiable. When the spatial slice is a disc, the gravitational fields can either be unconstrained or constrained at the boundary of the disc. The unconstrained fields correspond to edge currents which carry a representation of the ISO(2, 1) Kac-Moody algebra. Unitary representations for such an algebra have been found using the method of induced representations. In the case of constrained fields, we can classify all possible boundary conditions. For several different boundary conditions, the field content of the theory reduces precisely to that of 1+1 dimensional gravity theories. We extend the above formalism to include sources. The sources take into account self-interactions. This is done by punching holes in the disc, and erecting an ISO(2, 1) Kac–Moody algebra on the boundary of each hole. If the hole is originally sourceless, a source can be created via the action of a vertex operator V. We give an explicit expression for V. We shall show that when acting on the vacuum state, it creates particles with a discrete mass spectrum. The lowest mass particle induces a cylindrical space-time geometry, while higher mass particles give an n fold covering of the cylinder. The vertex operator therefore creates cylindrical space-time geometries from the vacuum.

scholarly journals QUANTIZATION OF THE TOPOLOGICAL σ-MODEL AND THE MASTER EQUATION OF THE BV FORMALISM

1994 ◽  
Vol 09 (06) ◽  
pp. 491-500 ◽  
Author(s):  
S. AOYAMA
Keyword(s):  
Phase Space ◽  
Master Equation ◽  
Symplectic Structure ◽  
Kähler Manifold ◽  
Quantum Master Equation ◽  
Kahler Manifold ◽  
Invariant States

We quantize the topological σ-model. The quantum master equation of the Batalin-Vilkovisky formalism ΔρΨ=0 appears as a condition which eliminates the exact states from the BRST invariant states Ψ defined by QΨ=0. The phase space of the BV formalism is a supermanifold with a specific symplectic structure, called the fermionic Kähler manifold.

scholarly journals Quantum measurement of a solid-state qubit: A unified quantum master equation approach

2004 ◽  
Vol 69 (8) ◽  
Author(s):  
Xin-Qi Li ◽  
Wen-Kai Zhang ◽  
Ping Cui ◽  
Jiushu Shao ◽  
Zhongshui Ma ◽  
...  
Keyword(s):  
Solid State ◽  
Master Equation ◽  
Quantum Measurement ◽  
Quantum Master Equation ◽  
Equation Approach ◽  
Master Equation Approach

Neural network representation and optimization of thermoelectric states of multiple interacting quantum dots

2020 ◽  
Vol 22 (28) ◽  
pp. 16165-16173
Author(s):  
Hangbo Zhou ◽  
Gang Zhang ◽  
Yong-Wei Zhang
Keyword(s):  
Neural Network ◽  
Machine Learning ◽  
Quantum Dots ◽  
Seebeck Coefficient ◽  
Master Equation ◽  
Thermoelectric Properties ◽  
Electrical Conductance ◽  
Thermal Conductance ◽  
Quantum Master Equation ◽  
Network Representation

We perform quantum master equation calculations and machine learning to investigate the thermoelectric properties of multiple interacting quantum dots, including electrical conductance, Seebeck coefficient, thermal conductance and ZT.

scholarly journals Time-dependent Markovian quantum master equation

2018 ◽  
Vol 98 (5) ◽  
Author(s):  
Roie Dann ◽  
Amikam Levy ◽  
Ronnie Kosloff
Keyword(s):  
Master Equation ◽  
Time Dependent ◽  
Quantum Master Equation

scholarly journals Regularized quantum master equation in the wilsonian

2001 ◽  
Vol 2001 (10) ◽  
pp. 032-032 ◽  
Author(s):  
Yuji Igarashi ◽  
Katsumi Itoh ◽  
Hiroto So
Keyword(s):  
Master Equation ◽  
Quantum Master Equation
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