# Spontaneous symmetry breaking and mass generation as built-in phenomena in logarithmic nonlinear quantum theory

@article{Zloshchastiev2009SpontaneousSB, title={Spontaneous symmetry breaking and mass generation as built-in phenomena in logarithmic nonlinear quantum theory}, author={Konstantin G. Zloshchastiev}, journal={Acta Physica Polonica B}, year={2009}, volume={42}, pages={261-292} }

Our primary task is to demonstrate that the logarithmic nonlinearity in the quantum wave equation can cause the spontaneous symmetry breaking and mass generation phenomena on its own, at least in principle. To achieve this goal, we view the physical vacuum as a kind of the fundamental Bose-Einstein condensate embedded into the fictitious Euclidean space. The relation of such description to that of the physical (relativistic) observer is established via the fluid/gravity correspondence map, the…

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## References

SHOWING 1-10 OF 49 REFERENCES

Noncommutative quantum mechanics—a perspective on structure and spatial extent

- Physics
- 2010

We explore the notion of spatial extent and structure, already alluded to in earlier literature, within the formulation of quantum mechanics on the noncommutative plane. Introducing the notion of…

Artificial Black Holes

- Physics
- 2002

Contents: Introduction and Survey (M Visser) Acoustic Black Holes in Dilute Bose-Einstein Condensates (L Garay) Slow Light (U Leonhardt) Black Hole and Baby Universe in a Thin Film of 3He-A (T…

The theory of quantum liquids

- Physics
- 1968

* Introduction * Experimental and Theoretical Background on He II. * Elementary Excitations * Elementary Excitations in He II * Superfulid Behavior: Response to a Transverse Probe. Qualitative…

The Universe in a Helium Droplet

- Physics
- 2003

2. GRAVITY 7. MICROSCOPIC PHYSICS 13. TOPOLOGY OF DEFECTS 18. ANOMALOUS NON-CONSERVATION OF FERMIONIC CHARGE 22. EDGE STATES AND FERMION ZERO MODES ON SOLITON 26. LANDAU CRITICAL VELOCITY 29. CASIMIR…

Classical Lumps and Their Quantum Descendants

- Physics
- 1977

A stone thrown into a still body of water makes ripples that spread out and eventually die away. The stone disturbs the water, gives it energy, but, even if we ignore friction, this energy tends in…

Grav

- Cosmol. 16, 288
- 2010

Annals Phys

- 100, 62
- 1976

Nature 248

- 30
- 1974

Usp

- Fiz. Nauk 106, 577
- 1972

Int

- J. Mod. Phys. D 15, 1987
- 2006