Progress In N=2 Field Theory
... In these theories many physical quantities have elegant descriptions in terms of Riemann surfaces and flat connections. Relations to many interesting mathematical topics: Moduli spaces of flat connections, character varieties, Teichmüller theory, Hitchin systems, integrable ...
... In these theories many physical quantities have elegant descriptions in terms of Riemann surfaces and flat connections. Relations to many interesting mathematical topics: Moduli spaces of flat connections, character varieties, Teichmüller theory, Hitchin systems, integrable ...
6. Edge Modes
... charge in the bulk. This is simply because the quantum Hall fluid is incompressible. If you add p electrons to the system, the boundary has to swell a little bit. That’s what Q is measuring. This is our first hint that the boundary knows about things that happen in the bulk. There’s one other lesson ...
... charge in the bulk. This is simply because the quantum Hall fluid is incompressible. If you add p electrons to the system, the boundary has to swell a little bit. That’s what Q is measuring. This is our first hint that the boundary knows about things that happen in the bulk. There’s one other lesson ...
QFT II
... The Greens function (= correlation functions) in Euclidean coordinates G(xE1 , . . . , xE2 ) are called ’Schwinger functions’. In ’typical’ QFTs these can be analytically rotated back to Minkowski time. The Osterwald-Schrader theorem gives precise condition for when this is possible. Conclusion 2 wa ...
... The Greens function (= correlation functions) in Euclidean coordinates G(xE1 , . . . , xE2 ) are called ’Schwinger functions’. In ’typical’ QFTs these can be analytically rotated back to Minkowski time. The Osterwald-Schrader theorem gives precise condition for when this is possible. Conclusion 2 wa ...
d4l happening whats
... — NOT a complete theory — accurate only for p ≪ m — BUT perfectly consistent in its domain of validity and it is useful to think about this theory on its own — without discussing the heavy particles at al — The last statement is the interesting one. Like any nonrenormalizable theory, the effective t ...
... — NOT a complete theory — accurate only for p ≪ m — BUT perfectly consistent in its domain of validity and it is useful to think about this theory on its own — without discussing the heavy particles at al — The last statement is the interesting one. Like any nonrenormalizable theory, the effective t ...
4. Introducing Conformal Field Theory
... metric is fixed. Similarly, any conformally invariant theory can be coupled to 2d gravity where it will give rise to a classical theory which enjoys both diffeomorphism and Weyl invariance. Notice the caveat “classical”! In some sense, the whole point of this course is to understand when this last s ...
... metric is fixed. Similarly, any conformally invariant theory can be coupled to 2d gravity where it will give rise to a classical theory which enjoys both diffeomorphism and Weyl invariance. Notice the caveat “classical”! In some sense, the whole point of this course is to understand when this last s ...
On the parallel postulate
... Till this date the human excellence explored many interesting results in fifth postulate field. Let us note that there is no such results in the above mentioned four problems. Mother Nature does not show any partiality to both any person and any natural phenomena. I am confident that our attempts an ...
... Till this date the human excellence explored many interesting results in fifth postulate field. Let us note that there is no such results in the above mentioned four problems. Mother Nature does not show any partiality to both any person and any natural phenomena. I am confident that our attempts an ...
AdS/CFT to hydrodynamics
... Of course, these calculations are done for theoretical models such as N=4 SYM and its cousins (including non-conformal theories etc). We don’t know quantities such as ...
... Of course, these calculations are done for theoretical models such as N=4 SYM and its cousins (including non-conformal theories etc). We don’t know quantities such as ...
The Asymptotic Safety Scenario for Quantum Gravity Bachelor
... spacetime itself called quantum loop gravity where general relativity and its continuous spacetime are recovered in a low energy limit. An introduction to this can be found in [4]. One exceptional theory that automatically includes gravity is string theory. Here every particle is represented by a ce ...
... spacetime itself called quantum loop gravity where general relativity and its continuous spacetime are recovered in a low energy limit. An introduction to this can be found in [4]. One exceptional theory that automatically includes gravity is string theory. Here every particle is represented by a ce ...
PowerPoint
... H-dependent divergence at low T H-independent part (linear in T at low T) due to exchange anisotropy ...
... H-dependent divergence at low T H-independent part (linear in T at low T) due to exchange anisotropy ...
Scale invariance
In physics, mathematics, statistics, and economics, scale invariance is a feature of objects or laws that do not change if scales of length, energy, or other variables, are multiplied by a common factor. The technical term for this transformation is a dilatation (also known as dilation), and the dilatations can also form part of a larger conformal symmetry.In mathematics, scale invariance usually refers to an invariance of individual functions or curves. A closely related concept is self-similarity, where a function or curve is invariant under a discrete subset of the dilatations. It is also possible for the probability distributions of random processes to display this kind of scale invariance or self-similarity.In classical field theory, scale invariance most commonly applies to the invariance of a whole theory under dilatations. Such theories typically describe classical physical processes with no characteristic length scale.In quantum field theory, scale invariance has an interpretation in terms of particle physics. In a scale-invariant theory, the strength of particle interactions does not depend on the energy of the particles involved.In statistical mechanics, scale invariance is a feature of phase transitions. The key observation is that near a phase transition or critical point, fluctuations occur at all length scales, and thus one should look for an explicitly scale-invariant theory to describe the phenomena. Such theories are scale-invariant statistical field theories, and are formally very similar to scale-invariant quantum field theories.Universality is the observation that widely different microscopic systems can display the same behaviour at a phase transition. Thus phase transitions in many different systems may be described by the same underlying scale-invariant theory.In general, dimensionless quantities are scale invariant. The analogous concept in statistics are standardized moments, which are scale invariant statistics of a variable, while the unstandardized moments are not.