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Topic: Polyakov action

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	Polyakov
		Transported to the Mir orbital station a Soviet-Afghan crew comprising the cosmonauts V A Lyakhov, V V Polyakov and A A Momand (Afghanistan) to conduct joint research and experiments with the cosmonauts V G Titov and M K Manarov.
		Soyuz TM-7 landed at 02:59 GMT with the crew of Krikalyov, Polyakov and Volkov Aleksandr aboard.
		Soyuz TM-20 landed 22 km northeast of Arkalyk in Kazakhstan at 04:04 GMT with crew of Viktorenko, Kondakova and Polyakov aboard.
	www.astronautix.com /astros/polyakov.htm (635 words)

	CONTEXT - This Week in Arts and Ideas from The Moscow Times
		Of the two catastrophes muddling Polyakov's brain, the most important is the loss of his wife.
		Costumed as Amneris, Polyakov's former wife (Oksana Korniyevskaya) often appears to dance with him, to taunt him, to sing to him or merely to observe him indifferently.
		Chernykh's performance of Polyakov is excellent, especially as his character descends into the darkest, most sinister corners of his addiction.
	context.themoscowtimes.com /stories/2006/11/17/108.html (1431 words)

	Re: Why strings? Why the Polyakov action?
		Hi very_cryptic -- Considering the geometric action, which is proportional to its area, is motivated by analogy to the point particle where this gives you the quantum field theories we know and love.
		In string theory the simplest geometric action is the Nambu Goto action, which is however highly non-linear (square rott).
		One therefore considers an equivalent action, which is only quadratic in the fields at the expense of some extra redundancy.
	www.lns.cornell.edu /spr/2004-12/msg0065511.html (901 words)

	RADIO FREE EUROPE/ RADIO LIBERTY
		He said most Ukrainians are more concerned with the miserable economic circumstances in their country than with events in Iraq, which is why Ukraine and its capital, Kyiv, have not seen the sort of huge antiwar demonstrations that have taken place elsewhere in Europe.
		He said he has been taken aback by the actions of the U.S., a country that he says is a symbol of liberty.
		Polyakov said the battalion held maneuvers for foreign military attaches, including officials from the U.S., last December and that everyone had been impressed by the demonstration.
	www.rferl.org /features/2003/03/20032003172708.asp (1301 words)

	Polyakov action - Wikipedia, the free encyclopedia
		In physics, the Polyakov action is the two-dimensional action of a conformal field theory describing the worldsheet of a string in string theory.
		The action is invariant under diffeomorphisms as well as the Weyl transformations and the Poincaré symmetry of the target manifold.
		It's interesting that if we consider n-dimensional (spatially) extended objects whose action is proportional to their worldsheet area/hyperarea, unless n=1, the corresponding Polyakov action would contain another term breaking Weyl symmetry.
	en.wikipedia.org /wiki/Polyakov_action (227 words)

	The Politburo Diktat: Capitalist "Gorby"
		The man responsible for the fall of the Soviet empire took action out of concern at the increasing use of his name and image for commercial purposes, press attache Vladimir Polyakov told AFP.
		The measure is designed to "defend Mr Gorbachev's name by legal means" against unlawful appropriation, Polyakov said, citing in particular the case of a vodka producer in the Volga city of Nizhny Novgorod who used the former president's portrait on his bottles.
		Gorbachev's dispute with the vodka producer is still unresolved and he "is prepared to take legal action," Polyakov said.
	www.acepilots.com /mt/archives/000002.html (400 words)

	Introductory String Theory Seminar \| The String Coffee Table
		It is the Polyakov action where the metric on the world-volume is a priori independent of the background metric.
		My inability to write the Polyakov action in a nice coordinate-free/index-free notation is beginning to trouble me. Either there is something wrong with it, or we are lacking the language to express it more clearly.
		When we write down actions (before considering their equations of motion) these actions have to be well defined expressions in terms of these objects.
	golem.ph.utexas.edu /string/archives/000327.html (5623 words)

	Matter loop effects
		it is to be expected that the Killing norm effectively acquires a nontrivial correction which is determined to a large extent by the renormalization prescription implicit in the Polyakov action (3.6).
		However, this is another instance where special care must be taken when an argument is based upon an effective action of Polyakov type the reliable basis of which being the conformal anomaly.
		This property actually defines the Polyakov action and must be considered as more fundamental than its non-local expression (3.2) (cf.
	www.teilchen.at /grumiller/papers/cvcghs/node3.html (1039 words)

	Luboš Motl: The Reference Frame: October 2005
		What you obtain is an action for PHI only; it differs from the original PHI-part of the action by having a new kind of a "star product" instead of the original one.
		In the case of string theory, the Polyakov (BRST) approach is very powerful because it allows us to rewrite the loop integrals over the moduli spaces of Riemann surfaces as very elegant integrals over the zero modes of the "b"-antighost.
		One of the points that Cumrun chose to emphasize was the derivation of the existence of dualities from the finiteness of the moduli spaces.
	motls.blogspot.com /2005_10_01_motls_archive.html (12415 words)

	Crimean Tatars, an article by Vladimir Polyakov
		The following article by Vladimir Polyakov, a school principal in Simferopol (Crimea) with a special interest in historical research, was translated into English by Mansur Alyadinov, with permission of the editor of Gazeta.Ru (www.gazeta.ru), where it first appeared.
		In their memoirs Soviet partisans admit to taking food and live stock from persons, who were collaborating with the Germans, but during those hasty attacks they were not so sure who was who, and innocent people might have been targeted too.
		The Germans transported many young Tatars to Germany as "ostarbeiters." In retaliation to partisans' actions, many people, including Tatars, were hanged in order to scare the population, and many Tatars were held as hostages.
	www.iccrimea.org /polyakov.html (5936 words)

	Interacting Strings and the Effective Action
		In order to include the interaction of strings, the generalization of the Polyakov action consistent with its symmetries is given by
		On the other hand, the Polyakov action can be generalized to be consistent with all symmetries and with the massless spectrum of the bosonic closed strings in the form of a non-linear sigma model
		The form of this action will of extreme importance later when we describe the strong/weak coupling duality in effective supergravity actions of the different superstring theories types.
	fisica.usac.edu.gt /public/hugo/courseguate/node4.html (615 words)

	Perturbative String and Superstring Theories
		This action is proportional to the length of the world-line of the relativistic particle.
		In analogy with the relativistic point particle, the action describing the dynamics of a string (one-dimensional object) moving in a
		The equation of motion associated with Polyakov action is given by
	fisica.usac.edu.gt /public/hugo/courseguate/node2.html (503 words)

	[No title] (Site not responding. Last check: 2007-10-21)
		I.Ya.Pomeranchuk Prize is awarded to Professor Alexander M. Polyakov for his outstanding contributions to quantum field and string theories.
		Joseph Henry Professor of Physics Alexander M. Polyakov is the member of the US National Academy of Sciences (NAS).
		In 1981 he reformulated the string theories in terms of a covariant path integral (the Polyakov's action).
	www.itep.ru /eng/ppw2004.html (437 words)

	[No title]
		Physicists call this "calculating the path integral", but from a certain viewpoint what they're really doing is defining the path integral, since it only has a precise meaning after they're done.
		In the case at hand, it was Polyakov who figured out the right massage: 6) A. Polyakov, Quantum geometry of bosonic strings, Phys.
		He rewrote the above integral as a double integral: first an integral over the space of metrics g on the torus, and then inside, for each metric, an integral over maps X from the torus into spacetime.
	math.ucr.edu /home/baez/twf_ascii/week127 (3162 words)

	Alternative approach
		The purpose of this appendix is to provide an alternative derivation of the effective interaction vertex (3.9) by applying a method which works also for generic dilaton gravity theories and which has proven useful already for tree level vertices [
		Since the Polyakov action contains the zweibeine at classical level it is sufficient to solve the classical equations of motion with matter replaced by a localized source
		of the whole Polyakov action (``symmetric variant''); alternatively, by taking the origin of the Polyakov action, namely the conformal anomaly, seriously one has to take the first order term in
	www.teilchen.at /grumiller/papers/cvcghs/node6.html (399 words)

	Why strings? Why the Polyakov action?
		The usual rationalizations might go something like this: The Polyakov action is simplest in 2D and only possesses conformal symmetry in 2D.
		While it is generally a good idea to study toy models because they are simpler, it would be mistaken to insist nature is described by a toy model.
		This way of modeling strings makes it hard to add interaction terms dealing with the self-intersection of a string or the intersection of two strings, which is something we would expect for physical strings.
	www.lns.cornell.edu /spr/2004-12/msg0065461.html (443 words)

	A First Course in String Theory by Cambridge University Press
		After showing relativistic particle action is the length of the particle worldline, the author develops the relativistic string action as the area of the worldsheet, i.e.
		Interestingly, in this book the Nambu-Goto action isn't rewritten as the Polyakov action until close to the end of the book.
		I was fairly surprised to see the Polyakov action covered so late in the book.
	www.naturalskincare.ws /stuff-0521831431.html (2160 words)

	Why strings? Why the Polyakov action?
		The usual rationalizations\nmight go something like this: The Polyakov action is simplest in 2D and\nonly possesses conformal symmetry in 2D.
		Why does the action have to be proportional to\nthe area alone?\n\nOr for that matter, why do we have to model strings as a map from a 2D\nspacetime to a target space (pseudoRiemannian for bosonic strings and\nsuperspace for superstrings)?
		In the Polyakov model, strings simply pass\nandgt; through each other and themselves like ghosts.\n\nThe fact that strings define maps from the world sheet into target\nspace is just the mathematical version of the statement that strings\nlive in spacetime.
	www.physicsforums.com /showthread.php?p=388950 (3325 words)

	"Area Metric" Manifolds \| The String Coffee Table
		Using the above language this fact appears in form of the statement that the Polyakov action in such a background is classically equivalent to an action given by the term
		For the applications to string actions the most important one is the canonical area derivative described in section IV.
		For instance they would associate the action of a particle in a gravitational and EM field to each path.
	golem.ph.utexas.edu /string/archives/000687.html (2801 words)

	Myswizard » String Theory
		Bosonic string theory is formulated in terms of the Polyakov action, a mathematical quantity which can be used to predict how strings move through space and time.
		By applying the ideas of quantum mechanics to the Polyakov action — a procedure known as quantization — one can deduce that each string can vibrate in many different ways, and that each vibrational state appears to be a different particle.
		The mass the particle has, and the fashion with which it can interact, are determined by the way the string vibrates — in essence, by the “note” which the string sounds.
	www.myswizard.com /2006/06/12/string-theory (5723 words)

	The Superstring Store
		This is a good textbook for physics graduate students who want to learn homotopy, homology, cohomology, or other areas of differential geometry and topology that are useful in physics.
		It covers a bit of string theory in a section on the Polyakov action.
		The clarity of the presentation is enhanced by explicit calculations and diagrams; the proof of a theorem is given only when it is instructive and not very technical.
	www.superstringtheory.com /store/mathbooks2.html (502 words)

	SCU Mathematics Colloquium Series, Fall 1997
		It unifies most of the current `scale space' models for images by a simple selection of one parameter, yet more important, it enables to introduce new methods to deal with images in a simple and natural way.
		A functional called "Polyakov action", borrowed from high energy physics, is shown to be useful for image enhancement in color, texture, volumetric medical data, movies, and more.
		The idea is to consider images as surfaces rather than functions.
	math.scu.edu /colloquium/fall97.html (804 words)

	RR-4897 : The Beltrami Flow over Manifolds
		This new regularization technique overcomes the over-smoothing of the L_2 flow and the staircasing effects of the L_1 flow, that were recently suggested via the harmonic map methods.
		The key of our approach is first to clarify the link between the intrinsic Polyakov action and the implicit Harmonic energy functional and then use the geometrical understanding of the Beltrami Flow to generalize it to images on explicitly and implicitly defined non flat surfaces.
		It is shown that once again the Beltrami flow interpolates between the L_2 and L_1 flows on non-flat surfaces.
	www.inria.fr /rrrt/rr-4897.html (565 words)

	week127
		Here S(X) is the action for string theory, which is just the area of the string worldsheet.
		In the case at hand, it was Polyakov who figured out the right massage:
		Polyakov's trick turns the partition function into a double integral:
	math.ucr.edu /home/baez/week127.html (3403 words)

	eprintweb - hep-th/9810209 Quantum effects for extrinsic geometry of strings via the generalized Weierstrass ...
		The generalized Weierstrass representation for surfaces in $Bbb{R}^{3}$ is used to study quantum effects for strings governed by Polyakov-Nambu-Goto action.
		Correlators of primary fields are calculated exactly in one-loop approximation for the pure extrinsic Polyakov action.
		The Nambu-Goto and spontaneous curvature actions are treated perturbatively.
	eprintweb.org /S/article/hep-th/9810209 (87 words)

	Nordic Design Blog » Page footer with CSS
		Filed under: CSS — Igor Polyakov @ 1:26 am
		This thread I have found useful when I had the task make a footer div that resides on the bottom of browser’s window if height of content is smaller than window height.
		An important update: I have redesigned site’s code with method by Juan from blog.coderlab.us, it’s seems even easier and uses less code than this approach.
	www.polyakov.org /wordpress/?p=16 (273 words)

	Myswizard
		Other examples include entropy as a measure of the uncertainty regarding the positions and motions of unseen particles and the quantum mechanical idea that (action and) energy are not continuously variable.
		Sometimes it is the vision of mathematicians which provides the clue; e.g., the notion, due to Riemann and others, that space itself might be curved.
		Panch karma indriya or five organs of action - The organs of action are hands, legs, vocal apparatus, urino-genital organ and anus.
	www.myswizard.com /tag/Physics (15999 words)

	Introduction to String Theory
		Content: Classical theory of bosonic strings, notion of induced metric, Nambu-Goto action, Polyakov action and their equivalence, the worldsheet stress-energy tensor
		Content: Classical symmetries of Polyakov action, consequences of Weyl and reparametrization invariance for the stress-energy tensor, Gauge fixing, worldsheet light-cone coordinates, Conformal invariance.
		Content: Stress-energy tensor and the gauge fixed action: Noether's theorem (statement and proof), worldsheet coordinate transformations and the stress-energy tensor, conservation laws and the role of boundary conditions, stress-energy tensor and conformal transformations, the classical Virasoro algebra.
	www.physto.se /~fawad/Strings (516 words)

	Home Page
		A nice discussion on flat directions can be found in section 2 of Dine's lecture notes on M Theory Phenomenology [hep-th/0003175].
		World-sheet; Target-space; Namb-Goto action; Polyakov action; Diffeomorphism invariance; Weyl symmetry;
		Euler number; gauge fixing; lightcone gauge; string oscillators; the tachyon;
	www-theory.lbl.gov /~origa/Physics250/S05/HomePage.html (282 words)

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