412 research outputs found
Spontaneous supersymmetry breaking probed by geometric invariants
The presence of the Aharonov-Anandan invariant in phenomena in which vacuum
condensates are physically relevant can help to reveal the spontaneous
supersymmetry breaking induced by condensates. The analysis is presented in the
case of the Wess--Zumino model. The manifestation of the Aharonov-Anandan
invariant of atoms and their superpartners, generated at non-zero temperature,
could reveal the signature of SUSY violation in a recently proposed
experimental setup based on an optical lattice in which SUSY is broken at
non-zero temperature.Comment: 5 page
Geometric invariants as detector of Hawking and Unruh effects and quantum field theory in curved space
We report on the recent results revealing the presence of geometric
invariants in all the phenomena in which vacuum condensates appear and we show
that Aharonov--Anandan phase can be used to provide the evidence of phenomena
like Hawking and Unruh effects and to test some behavior of quantum field
theory in curved space. A very precise quantum thermometer can be also built by
using geometric invariants.Comment: 7 pags. arXiv admin note: substantial text overlap with
arXiv:1311.289
Probing Hawking and Unruh effects and quantum field theory in curved space by geometric invariants
The presence of noncyclic geometric invariant is revealed in all the
phenomena where particle generation from vacuum or vacuum condensates appear.
Aharonov--Anandan invariants then can help to study such systems and can
represent a new tool to be used in order to provide laboratory evidence of
phenomena particulary hard to be detected, such as Hawking and Unruh effects
and some features of quantum field theory in curved space simulated by some
graphene morphologies. It is finally suggested that a very precise quantum
thermometer can be built by exploiting geometric invariants properties.Comment: 9 page
Thermal condensate structure and cosmological energy density of the Universe
The aim of this paper is the study of thermal vacuum condensate for scalar
and fermion fields. We analyze the thermal states at the temperature of the
cosmic microwave background (CMB) and we show that the vacuum expectation value
of the energy momentum tensor density of photon fields reproduces the energy
density and pressure of the CMB. We perform the computations in the formal
framework of the thermo field dynamics. We also consider the case of neutrinos
and thermal states at the temperature of the neutrino cosmic background.
Consistency with the estimated lower bound of the sum of the active neutrino
masses is verified. In the boson sector, non trivial contribution to the energy
of the universe is given by particles of masses of the order of
compatible with the ones of the axion-like particles. The fractal self-similar
structure of the thermal radiation is also discussed and related to the
coherent structure of the thermal vacuum.Comment: 5 page
Noncommutative spectral geometry and the deformed Hopf algebra structure of quantum field theory
We report the results obtained in the study of Alain Connes noncommutative
spectral geometry construction focusing on its essential ingredient of the
algebra doubling. We show that such a two-sheeted structure is related with the
gauge structure of the theory, its dissipative character and carries in itself
the seeds of quantization. From the algebraic point of view, the algebra
doubling process has the same structure of the deformed Hops algebra structure
which characterizes quantum field theory.Comment: 11 pages. Invited talk in the Sixth International Workshop DICE2012,
Castello Pasquini/Castiglioncello (Tuscany), September 17-21, 201
Neutrino mixing and cosmological constant
We report on the recent result that the non--perturbative vacuum structure
associated with neutrino mixing leads to a non--zero contribution to the value
of the cosmological constant. Its value is estimated by using the natural
cut--off appearing in the quantum field theory formalism for neutrino mixing.Comment: 2pages. Presented at 16th SIGRAV, Conference on General Relativity
and Gravitational Physics, Vietri sul Mare, Italy, 13-16 September 200
Particle mixing as possible explanation of the dark energy conundrum
The vacuum condensate due to neutrino and quark mixing behaves as a perfect
fluid and, at the present epoch, as a cosmological constant. The very small
breaking of the Lorentz invariance constrains today the value of the dark
energy.Comment: 6 pages. Ptesented at the 4th International Conference DICE 2008:
From Quantum Mechanics through Complexity to Space-time -the role of emergent
dynamical structures, Castiglioncello, Tuscany, Italy, 22-26 Sep. 200
A Preliminar Evidence of Quantum Like Behavior in Measurements of Mental States
Experimental results presented in this paper supports the hypothesis on
quantum-like statistical behaviour of cognitive systems (at least human
beings). Our quantum-like approach gives the possibility to represent mental
states by Hilbert space vectors (complex amplitudes). Such a representation
induces huge reduction of information about a mental state. We realize an
approach that has no direct relation with reductionist quantum models and we
are not interested in statistical behavior of micro systems forming the macro
system of the brain. We describe only probabilistic features of cognitive
measurements. Our quantum-like approach describes statistics of measurements of
cognitive systems with the aim to ascertain if cognitive systems behave as
quantum-like systems where here quantum-like cognitive behavior means that
cognitive systems result to be very sensitive to changes of the context with
regard to the complex of the mental conditions
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