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Related Links
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Keywords:
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membranes, functional dynamics, rank-three gauge
potential, type II superconductor, bags, vacuum.
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Project goals:
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to present a possible application of the functional
dynamics of branes.
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Project results:
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development of a model that is the Coleman-Weinberg mechanism
for membranes; its interpretation of four-dimensional
domains (bags).
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Short Description.
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A central and far reaching aspect of field
theory that was explored by Umezawa during his lifelong research
activity is the idea of "boson condensation" in connection
with the possibilities to induce a structure in the ground state
of a physical system. We are going to concentrate, here, on
the possibility that Boson condensation may induce the formation
of extended objects (an idea permeating Umezawa's work in the
last twenty five years which has already stimulated applications
in different branches of physics). In particular we will present
some new aspects in the theory of extended objects against the
idea of boson condensation. We will also draw a connection with
a very interesting physical system, i.e. a type-II superconductor.
We extend the properties of this system (where an external magnetic
field is squeezed into thin flux tubes by the vacuum pressure
of the Cooper pairs condensate) to relativistic bubbles coupled
to an antisymmetric, rank 3, gauge potential. We will show that:
- when membrane condensation takes place it generates a two-phase
structure in spacetime;
- in analogy to the Coleman-Weinberg mechanism, membrane condensation
can be driven by the quantum corrections of the gauge field.
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Additional material:
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