7,023 research outputs found

### Space-times produced by a time-dependent scalar field

Models of Lorentz/diffeomorphism violation frequently make use of a
time-dependent scalar field. We investigate space-times produced by such a
field.Comment: Presented at PASCOS Meeting 200

### Conformal Blocks for the 4-Point Function in Conformal Quantum Mechanics

Extending previous work on 2 -- and 3 -- point functions, we study the 4 --
point function and its conformal block structure in conformal quantum mechanics
CFT$_1$, which realizes the SO(2,1) symmetry group. Conformal covariance is
preserved even though the operators with which we work need not be primary and
the states are not conformally invariant. We find that only one conformal block
contributes to the four-point function. We describe some further properties of
the states that we use and we construct dynamical evolution generated by the
compact generator of SO(2.1).Comment: Formula for 4-point function is corrected and generalize

### State Space for Planar Majorana Zero Modes

Zero modes arising from a planar Majorana equation in the presence of $N$
vortices require an $\mathcal{N}$-dimensional state-space, where $\mathcal{N} =
2^{N/2}$ for $N$ even and $\mathcal{N} = 2^{(N + 1)/2}$ for $N$ odd. The mode
operators form a restricted $\mathcal{N}$-dimensional Clifford algebra.Comment: 6 pages, no figure

### Reducing the Chern-Simons term by a symmetry

Reducing a 3-dimensional Chern-Simons term by a symmetry yields other
topologically interesting structures. Specifically, reducing by radial symmetry
results in a 1-dimensional quantum mechanical model, which has recently been
used in an analysis of finite-temperature Chern-Simons theory. The radially
symmetric expression may be inserted into 3-dimensional monopole or
(2+1)-dimensional instanton equations, where it eliminates the monopole or
instanton solutions.Comment: Email correspondence to [email protected] ; 7 pages, REVTe

### Persistence of zero modes in a gauged Dirac model for bilayer graphene

A recently constructed model for low lying excitations in bilayer graphene
exhibits mid-gap, zero energy modes in its Dirac-like spectrum, when a scalar
order parameter takes a vortex profile. We show that these modes persist when
the dynamics is extended by a gauge field interaction, which also renders
finite the vortex energy. The effect of the gauge field on the zero energy wave
function is to shift the phase of the (damped) oscillatory component of the
wave function in the absence of the gauge field.Comment: 7 pages, no figure

### Cotton Blend Gravity $pp$ Waves

We study conformal gravity in d=2+1, where the Cotton tensor is equated to
a--necessarily traceless--matter stress tensor, for us that of the improved
scalar field. We first solve this system exactly in the $pp$ wave regime, then
show it to be equivalent to topologically massive gravity.Comment: 6 pages. Dedicated to Andrzej Staruszkiewicz, a pioneer in d=3
gravity, on his 65th birthda

### Self-consistent Improvement of the Finite Temperature Effective Potential

We present a self-consistent calculation of the finite temperature effective
potential for $\lambda \phi^4$ theory, using the composite operator effective
potential in which an infinite series of the leading diagrams is summed up. Our
calculation establishes the proper form of the leading correction to the
perturbative one-loop effective potential.Comment: 19 pages, Plain Tex, (References completely reorganized and
corresponding changes in the text. Also minor typo corrections. 4 figures
still not included.

### Tutorial on Scale and Conformal Symmetries in Diverse Dimensions

We review the relation between scale and conformal symmetries in various
models and dimensions. We present a dimensional reduction from relativistic to
non-relativistic conformal dynamics.Comment: Addendum added that includes author S.-H. Ho; Sodano Fest, Perugia,
Italy, January 201

### Conformal quantum mechanics as the CFT$_1$ dual to AdS$_2$

A 0+1-dimensional candidate theory for the CFT$_1$ dual to AdS$_2$ is
discussed. The quantum mechanical system does not have a ground state that is
invariant under the three generators of the conformal group. Nevertheless, we
show that there are operators in the theory that are not primary, but whose
"non-primary character" conspires with the "non-invariance of the vacuum" to
give precisely the correlation functions in a conformally invariant theory.Comment: 6 page

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