scholarly journals Space-time phase transitions in the East model with a softened kinetic constraint

2013 ◽  
Vol 138 (12) ◽  
pp. 12A531 ◽  
Author(s):  
Yael S. Elmatad ◽  
Robert L. Jack
Keyword(s):  
Phase Transitions ◽  
Space Time ◽  
Kinetic Constraint

QUANTUM PHASE TRANSITIONS AND EVENT HORIZONS: CONDENSED MATTER ANALOGIES

2006 ◽  
Vol 20 (19) ◽  
pp. 2647-2650
Author(s):  
GEORGE CHAPLINE
Keyword(s):  
General Relativity ◽  
Phase Transitions ◽  
Event Horizon ◽  
Thought Experiment ◽  
Quantum Phase Transitions ◽  
Martensitic Transformations ◽  
Space Time ◽  
Quantum Phase ◽  
Event Horizons ◽  
Heavy Fermion Materials

Although it has been generally believed that classical general relativity is always correct for macroscopic length scales, certain predictions such as event horizons and closed time-like curves are inconsistent with ordinary quantum mechanics. It has recently been pointed out that the event horizon problem can be resolved if space-time undergoes a quantum phase transition as one approaches the surface where general relativity predicts that the redshift becomes infinite. Indeed a thought experiment involving a superfluid with a critical point makes such a suggestion appear plausible. Furthermore the behavior of space-time near an event horizon may resemble quantum phase transitions that have been observed in the laboratory. For example, the phenomenology of metamagnetic quantum critical points in heavy fermion materials resembles the behavior expected, both in terms of time standing still and the behavior of quantum correlation functions. Martensitic transformations accompanied by non-adiabatic changes in the electronic wave function are also interesting in this connection.

scholarly journals DYNAMIC REARRANGEMENT OF VACUUM AND THE PHASE TRANSITIONS IN THE GEOMETRIC STRUCTURE OF SPACE-TIME

2012 ◽  
Vol 09 (01) ◽  
pp. 1250007 ◽  
Author(s):  
GEORGE YU. BOGOSLOVSKY
Keyword(s):  
Fine Structure ◽  
Phase Transitions ◽  
Geometric Structure ◽  
Geometric Phase ◽  
Space Time ◽  
Spontaneous Breaking ◽  
Axially Symmetric ◽  
Event Space ◽  
Shell Equations ◽  
Finslerian Space

It is shown that in the case of spontaneous breaking of the original gauge symmetry, a dynamic rearrangement of vacuum may lead to the formation of some anisotropic condensates. The appearance of such condensates causes the respective phase transitions in the geometric structure of space-time and creates a flat anisotropic, i.e. Finslerian event space. Actually there arises either a flat relativistically invariant Finslerian space with partially broken 3D isotropy, i.e. axially symmetric space, or a flat relativistically invariant Finslerian space with entirely broken 3D isotropy. The fact that any entirely anisotropic relativistically invariant Finslerian event space belongs to a 3-parameter family of such spaces gives rise to a fine structure of the respective geometric phase transitions. In the present paper the fine structure of the geometric phase transitions is studied by classifying all the metric states of the entirely anisotropic event space and the respective mass shell equations.

PHASE TRANSITION DUE TO NON-CONTRACTIBLE LOOP IN HETEROTIC STRING D<10

1990 ◽  
Vol 05 (04) ◽  
pp. 771-787
Author(s):  
NORIJI KATO ◽  
IKUO SENDA
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Effective Potential ◽  
Finite Temperature ◽  
Space Time ◽  
Heterotic String ◽  
First Order ◽  
New Phase ◽  
Compactified Space

The heterotic string of the uncompactified dimensions less than ten, D<10, without space-time supersymmetry is considered. The states which have excitations only in the instanton sectors appear in the spectrum. These states become tachyonic below or above a certain scale of the compactified space and make the vacuum unstable. These phenomena are understood as phase transitions due to noncontractible loop on the compactified space. The investigation into the effective potential tells that the phase transition is of first order. The properties of the new phase are studied both in the field theoretic and the stringy manners. The heterotic string at finite temperature in D<10 is also discussed.

scholarly journals Holographic naturalness and topological phase transitions

2021 ◽  
pp. 2150030
Author(s):  
Andrea Addazi
Keyword(s):  
Phase Transitions ◽  
Degrees Of Freedom ◽  
Planck Scale ◽  
Gravity Anomalies ◽  
Vacuum State ◽  
Space Time ◽  
Topological Phase ◽  
De Sitter ◽  
Topological Quantum ◽  
Topological Phase Transitions

We show that our Universe lives in a topological and non-perturbative vacuum state full of a large amount of hidden quantum hairs, the hairons. We will discuss and elaborate on theoretical evidences that the quantum hairs are related to the gravitational topological winding number in vacuo. Thus, hairons are originated from topological degrees of freedom, holographically stored in the de Sitter area. The hierarchy of the Planck scale over the Cosmological Constant (CC) is understood as an effect of a Topological Memory intrinsically stored in the space-time geometry. Any UV quantum destabilizations of the CC are re-interpreted as Topological Phase Transitions, related to the disappearance of a large ensamble of topological hairs. This process is entropically suppressed, as a tunneling probability from the [Formula: see text]- to the 0-states. Therefore, the tiny CC in our Universe is a manifestation of the rich topological structure of the space-time. In this portrait, a tiny neutrino mass can be generated by quantum gravity anomalies and accommodated into a large [Formula: see text]-vacuum state. We will re-interpret the CC stabilization from the point of view of Topological Quantum Computing. An exponential degeneracy of topological hairs non-locally protects the space-time memory from quantum fluctuations as in Topological Quantum Computers.

Compact Gauge Theories of Open p-Branes

1997 ◽  
Vol 12 (06) ◽  
pp. 1237-1241
Author(s):  
M. C. Diamantini
Keyword(s):  
Phase Transitions ◽  
String Theory ◽  
Gauge Theories ◽  
Topological Defects ◽  
Space Time ◽  
Antisymmetric Tensor ◽  
Study Phase ◽  
Abelian Gauge ◽  
Tensor Theory

We study phase transitions induced by topological defects in compact Abelian gauge theories of openp-branes in (d+1) space-time dimensions. Starting from a massive antisymmetric tensor theory for the open p-branes we show how the condensation of topological defects can lead to a decoupled phase with a massless tensor coupled to closed (p - 1)-branes and a massive tensor coupled to open (p + 1)-branes. We also consider the case, relevant in string theory, in which the boundaries of the p-branes are constrained to live on a Dirichlet n-brane.

scholarly journals SELF-INTERACTING SCALAR FIELDS ON SPACE-TIME WITH COMPACT HYPERBOLIC SPATIAL PART

1993 ◽  
Vol 08 (21) ◽  
pp. 2011-2021 ◽  
Author(s):  
ANDREI BYTSENKO ◽  
KLAUS KIRSTEN ◽  
SERGEI ODINTSOV
Keyword(s):  
Phase Transitions ◽  
Scalar Field ◽  
Effective Potential ◽  
Discrete Group ◽  
Scalar Fields ◽  
Space Time ◽  
Selberg Trace Formula ◽  
Effective Potentials ◽  
Spatial Part ◽  
The One

We calculate the one-loop effective potential of a self-interacting scalar field on the space-time of the form ℝ2×H2/Γ. The Selberg trace formula associated with a co-compact discrete group Γ in PSL(2, ℝ) (hyperbolic and elliptic elements only) is used. The closed form for the one-loop unrenormalized and renormalized effective potentials is given. The influence of non-trivial topology on curvature induced phase transitions is also discussed.

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