Dissipation and spontaneous symmetry breaking in brain dynamics

Dissipation and spontaneous symmetry breaking in brain dynamics

We compare the predictions of the dissipative quantum model of brain with neurophysiological data collected from electroencephalograms resulting from high-density arrays fixed on the surfaces of primary sensory and limbic areas of trained rabbits and cats. Functional brain imaging in relation to behavior reveals the formation of coherent domains of synchronized neuronal oscillatory activity and...

Critical Dynamics of Symmetry Breaking: Quenches, Dissipation and Cosmology

Symmetry-breaking phase transitions may leave behind topological defects [1] with a density dependent on the quench rate [2]. We investigate the dynamics of such quenches for the one-dimensional, Landau-Ginzburg case and show that the density of kinks, n, scales differently with the quench timescale, τQ, depending on whether the dynamics in the vicinity of the critical point is overdamped (n ∝ ...

Dynamics of spontaneous symmetry breaking in the Weinberg-Salam theory

Solving for p,p' gives (2) The need for fundamental scalar fields in the theory of weak and electromagnetic forces' is a serious flaw. Aside from the subjective esthetic argument, there exists a real difficulty connected with the quadratic mass divergences which always accompany scalar fields. ' These divergences violate a concept of naturalness which requires the observable properties of a the...

Nonperturbative Spontaneous Symmetry Breaking

One of the most astonishing results of quantum field theory is spontaneous symmetry breaking. One can say that it is the situation when something arises from the quantization. This means that on the quantum level one has something that was not present on the classical level. Coleman and Weinberg [1] write : “ . . . higher-order effects may qualitatively change the character of a physical theory...

Spontaneous Symmetry Breaking