Path Integrals in Field Theory

2016 ◽  
pp. 51-60
Keyword(s):  
Field Theory ◽  
Path Integrals

scholarly journals Quantum channels in quantum gravity

2014 ◽  
Vol 23 (12) ◽  
pp. 1442009 ◽  
Author(s):  
Mukund Rangamani ◽  
Massimilliano Rota
Keyword(s):  
Field Theory ◽  
Black Hole ◽  
Quantum Gravity ◽  
Path Integrals ◽  
Quantum Channels ◽  
Hole Formation ◽  
Integral Formalism ◽  
Final State ◽  
State Boundary ◽  
Gauge Gravity

The black hole final state proposal implements manifest unitarity in the process of black hole formation and evaporation in quantum gravity, by postulating a unique final state boundary condition at the singularity. We argue that this proposal can be embedded in the gauge/gravity context by invoking a path integral formalism inspired by the Schwinger–Keldysh like thermo-field double construction in the dual field theory. This allows us to realize the gravitational quantum channels for information retrieval to specific deformations of the field theory path integrals and opens up new connections between geometry and information theory.

Path Integrals in Field Theory

1996 ◽  
pp. 365-431
Author(s):  
Walter Greiner ◽  
Joachim Reinhardt
Keyword(s):  
Field Theory ◽  
Path Integrals

Quantum Field Theory: From Operators to Path Integrals

Physics Today ◽  
1999 ◽  
Vol 52 (11) ◽  
pp. 66-68 ◽  
Author(s):  
Kerson Huang ◽  
Michael E. Peskin
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Path Integrals ◽  
Quantum Field

scholarly journals The equivalence Spacetime curvature - Information wave function Entropy: a link between quantum mechanics and general relativity in Universe and Brain

2021 ◽  
Author(s):  
hind ZAARAOUI
Keyword(s):  
Field Theory ◽  
Quantum Physics ◽  
Path Integrals ◽  
Quantum Field ◽  
Spacetime Curvature ◽  
Incoming Information ◽  
Information Wave Function ◽  
Curvature Information ◽  
The Brain ◽  
The Universe

Our work consists on showing that the Spacetime curvature introduced by Einstein in the Universe and also in the Brain is a result of the Information Entropy of different quantum Paths of elementary particles (leptons, bosons…) of path integrals model. We started by seeing the structure of how the incoming information is processed and then propagated in the brain and how the latter is deformed in each neuron to thus create a potential reaction response distorted or not. In quantum physics, and particularly in quantum field theory (QFT), the paths in path integrals have an equivalent role to paths between two neighboring linked neurons (synapses + neurotransmitters + dendrites). Using this modeling, we prove mathematically that the entropy of the Information coming from the paths could be equivalent to the Spacetime curvature in Universe as in Brain

Fermions and Functional Formalism

2017 ◽  
Author(s):  
Laurent Baulieu ◽  
John Iliopoulos ◽  
Roland Sénéor
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Mechanics ◽  
Clifford Algebras ◽  
Path Integrals ◽  
Quantum Field ◽  
Functional Formalism ◽  
Grassmannian Manifold ◽  
Spinor Fields

The introduction of spinor fields and the problem of the positivity of the energy. Need for anti-commutators. Calculus in a Grassmannian manifold, the Berezin integral. Clifford algebras. Quantum mechanics and quantum field theory with fermions. The use of path integrals.

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