From Symmetry Breaking to Topology Change I
نویسندگان
چکیده
By means of an analogy with Classical Mechanics and Geometrical Optics, we are able to reduce Lagrangians to a kinetic term only. This form enables us to examine the extended solution set of field theories by finding the geodesics of this kinetic term’s metric. This new geometrical standpoint sheds light on some foundational issues of QFT and brings to the forefront core aspects of field theory.
منابع مشابه
Symmetry breaking and topology of acoustic waves in phononic structures
We present examples of phononic structures that beak four types of symmetry, namely timereversal symmetry, parity symmetry, chiral symmetry and particle-hole symmetry. The implications of symmetry breaking on the topology of the acoustic wave function in the space of its Eigen values are discussed. Particular attention is focused on the torsional topology of acoustic waves in periodic media in ...
متن کاملSimultaneous transitions in cuprate momentum-space topology and electronic symmetry breaking.
The existence of electronic symmetry breaking in the underdoped cuprates and its disappearance with increased hole density p are now widely reported. However, the relation between this transition and the momentum-space (k-space) electronic structure underpinning the superconductivity has not yet been established. Here, we visualize the Q = 0 (intra-unit-cell) and Q ≠ 0 (density-wave) broken-sym...
متن کاملar X iv : h ep - l at / 0 30 90 11 v 1 3 S ep 2 00 3 1 Chiral symmetry breaking and topology for all
We investigate spontaneous chiral symmetry breaking in SU(N) gauge theories at large N using overlap fermions. The exact zero modes and the low-lying modes of the Dirac operator provide the tools to gain insight into the interplay between chiral symmetry breaking and topology. We find that topology indeed drives chiral symmetry breaking at N = 3 as well as at large N. By comparing the results o...
متن کاملSymmetry Fractionalization and Topological Order
In this article, I would first introduce a new phase of matter with symmetry fractionalization and symmetry protected topological orders. Such a system is beyond Landau's symmetry breaking theory. For a symmetry protected topological ordered state, even without symmetry breaking, it is still different from a conventional non-symmetry breaking one as it cannot be adiabatically connected to a tri...
متن کاملA Computational Study to Find the Vibrational Modes Connected with Specific Molecular Structures of Calculated Compound
The purpose of this research is to provide a deeper understanding of the planar high- symmetry configuration instability. In the ideal case, the distortion corresponds to the movements of nuclei along normal modes that belong to non-totally symmetric irreps of the high symmertry (HS) point group of molecule. The analysis of the structural distortion from the HS nuclear arrangements of the JT ac...
متن کامل