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Showing 1 to 20 of 36 for “"instanton"”.
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Ring-polymer approaches to instanton theory
… approximation to the semi-classical instanton trajectory (a classical periodic orbit of length βħ on the inverted potential). Based on this, a new practical method for locating multidimensional instantons is proposed, by computing saddle points on the ring-polymer surface, and a …
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The instanton liquid and the axion
… of the cosmology of axions. Axions couple to QCD instantons and these non-perturbative effects are modeled within the framework of the interacting instanton liquid model (IILM). The thesis describes the significant advances made within the IILM in order to study the quark-gluon plasma in realistic …
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Surgery Exact Triangles in Instanton Theory
The introduction of instanton Floer theory and Donaldson polynomial invariants in the 1980s revolutionised the study of low dimensional topology. Since then, many Floer theories have been introduced with different structural properties and qualitative features. One of these Floer theories, Heegaard …
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Bubble tree compactification of instanton moduli spaces
… on the bubble tree compactification of the instanton moduli space on the complex projective space CP2 and the weighted complex projective space CP2 [a0,a1,a2] . In the fourth part, we give the definition of the Donaldson invariant through bubble tree compactification, extend it to the …
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Bubble tree compactification of instanton moduli spaces
… on the bubble tree compactification of the instanton moduli space on the complex projective space CP2 and the weighted complex projective space CP2 [a0,a1,a2] . In the fourth part, we give the definition of the Donaldson invariant through bubble tree compactification, extend it to the …
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Study of instanton physics in lattice QCD
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Physics, 1997.
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Contributions to sutured monopole and sutured instanton Floer homology theories
… of some aspects of sutured monopole and sutured instanton Floer homology theories. Sutured monopole and instanton Floer homologies were introduced by Kronheimer and Mrowka. They are the adaption of monopole and instanton Floer theories to the case of balanced sutured manifolds, which are compact …
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Semiclassical Methods in Field Theories: The Use of Soliton and Instanton
… The second part of this thesis concerns with the instanton physics in Sigma model and in nonabelian gauge theory. An instanton solution defines a dominant collective coordinate. By considering only the quantum physics along these coordinates (a good approximation in weak coupling limit), we can …
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Semiclassical methods in field theories : the use of soliton and instanton
Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-06-20T17:04:04Z No. of bitstreams: 1 1980_hsu.pdf: 3399648 bytes, checksum: 2b7e07c335252bcf2bfab67ce3876354 (MD5)
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Instanton correction, wall crossing and mirror symmetry of Hitchin's moduli spaces
We study two instanton correction problems of Hitchin's moduli spaces along with their wall crossing formulas. The hyperkahler metric of a Hitchin's moduli space can be put into an instanton-corrected form according to physicists Gaiotto, Moore and Neitzke. The problem boils down to the …
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Results on spectral sequences for monopole and singular instanton Floer homologies
… homologies associated to links, the singular instanton Floer homology introduced in [15] and the monopole Floer homology, which is explained in the book [16]. For both cases, we study in particular the spectral sequence that relates the Floer homologies to the Khovanov homologies of links. In …
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New techniques in calculation of sutured instanton Floer homology: by Heegaard diagrams, Euler characteristics, and Dehn surgery formulae
Kronheimer-Mrowka conjectured that sutured instanton Floer homology $SHI(M,\gamma)$ has the same dimension as the sutured Floer homology $SFH(M,\gamma)$ constructed by Juh\'{a}sz for any balanced sutured manifold $(M,\gamma)$. Motivated by their conjecture, we introduce new techniques for …
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The effects of instantons in a finite temperature quantum field theory
… the Euclidean path integral approach and instanton methods for investigating a SU(2) Yang-Mills theory at finite temperature. We first begin with a review of tunneling in a one-dimensional periodic potential. Here we introduce the methods of Euclidean path integrals and the idea of an …
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Analytic aspects of periodic instantons
… a computation of the Nahm transform of a SU(2)-instanton over R x T³, called spatially-periodic instanton. It is a singular monopole over T³, a solution to the Bogomolny equation, whose rank is computed and behavior at the singular points is understood under certain conditions. A full …
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Aspects of the (0,2)-McKay Correspondence
… discrepancy </p><p>to be explained by worldsheet instanton corrections coming from rational curves in the orbifold resolution. We show that </p><p>irreducible toric rational curves will account for some of the discrepancy, but also prove that there must be additional</p><p>worldsheet instanton …
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The geometry and representation theory of superconformal quantum mechanics
… The low-energy dynamics of Yang-Mills instantons is an example of the latter and arises naturally in the discrete light-cone quantisation (DLCQ) of certain superconformal field theories. In particular, we study in some detail the quantum mechanics arising in the DLCQ of the …
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Slave particle study of the strongly correlated electrons
… subject to compact gauge fluctuations. We study instanton effect in them and show that instanton proliferation can destabilize some of them. Another interesting problem in which we are interested in is the copper based high temperature superconductors (HTSC). The parent state of cuprates …
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Aspects of SU(2|4) symmetric field theories and the Lin-Maldacena geometries
… We use the supergravity duals to calculate new instanton amplitudes for the Plane-Wave Matrix Model at strong coupling. Finally, we study a natural coarse-graining of the vacua, and find that the associated geometries are singular. We define an entropy functional that vanishes for regular …
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