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	Landau pole - Wikipedia, the free encyclopedia
		In physics, Landau pole is the energy scale (or the precise value of the energy) where a coupling constant (the strength of an interaction) of a quantum field theory becomes infinite.
		However, the phrase "Landau pole" is usually used in the context of the theories that are not asymptotically free, such as quantum electrodynamics (QED) or a scalar field with a quartic interaction.
		Since the Landau pole is calculated using one-loop or two-loop calculations but perturbation theory breaks down for large coupling constants, there has been some controversy as to whether the Landau pole really exists or if we have a UV fixed point instead.
	en.wikipedia.org /wiki/Landau_pole (492 words)

	Lev Landau - Wikipedia, the free encyclopedia (Site not responding. Last check: 2007-10-08)
		His accomplishments include the co-discovery of the density matrix method in quantum mechanics, the quantum mechanical theory of diamagnetism, the theory of superfluidity, the theory of second order phase transitions, the Ginzburg-Landau theory of superconductivity, the explanation of Landau damping in plasma physics, the Landau pole in quantum electrodynamics, and the two-component theory of neutrinos.
		Recognized very early as a child prodigy in mathematics, Landau was quoted as saying in later life that he scarcely remembered a time when he was not familiar with calculus.
		Apart from his theoretical accomplishments, Landau was the principal founder of a great tradition of theoretical physics in the Soviet Union, sometimes referred to as the "Landau school".
	en.wikipedia.org /wiki/Lev_Davidovich_Landau (354 words)

	Lev Davidovich Landau
		Lev Davidovich Landau (Russian language: Ле́в Дави́дович Ланда́у) (January 22, 1908 – April 1, 1968) was a prominent Soviet physicist and winner of the Nobel Prize in Physics whose broad field of work included the theory of superconductivity and superfluidity, quantum electrodynamics, nuclear physics and particle physics.
		He was interested and equally competent in every aspect of physics and the participants in the seminar did not find it easy to follow train of thought in instantaneously switching from the discussion of, say, the properties of strange particles to the discussion of the energy spectrum of electrons in silicon.
		Landau’s scientific style was free of the – unfortunately fairly widespread – tendency to complicate simple things (often on the grounds of generality and rigor which, however, usually turn out to be illusory).
	www.mlahanas.de /Physics/Bios/LevDavidovichLandau.html (1350 words)

	[No title]
		Subsequent to the initial investigations, Landau Associates assisted the port with development of a cleanup action plan in coordination with the Department of Ecology, design and construction of interim remedial actions to prevent the further release of contaminants to Budd Inlet, and (presently), design, permitting and remedial construction to cleanup the impacted sediments.
		Landau Associates assisted the port in design and construction of a series of interim remedies consisting of a slurry wall and expanded groundwater pump-and-treat system to contain contaminated soil and groundwater, site capping to minimize surface water infiltration, and an upland containment cell to store the contaminated sediments that will be dredged this summer.
		Landau Associates has worked with the port throughout this project to arrive at a remedy that addresses the many environmental concerns and interests, while also balancing budgetary constraints.
	www.djc.com /news/enviro/11123736.html (1029 words)

	Kane County Chronicle - Online (Site not responding. Last check: 2007-10-08)
		Former Geneva pole vaulter Sarah Landau is headed to the NCAA Division I nationals.
		Landau won the NCAA Mideast Regional, which was hosted by Indiana University, with a leap of 13 feet, 7 3/4 inches.
		Landau was ranked sixth in the NCAA Division I. Landau will compete in the qualifying round on June 9 at 11 p.m.
	www.kcchronicle.com /print/283449382416849.php (574 words)

	Landau Resets Miami Pole Vault Record as Women's Track Cruises at Cedarville :: RedHawks Win Third Consecutive Team ...
		One week after setting school record in the pole vault at 12-11 3/4 at the Rod McCravy Invitational, Landau reset the Miami pole vault standard for the fifth time in her career with a vault of 13-0.
		Landau, who improved her NCAA provisional qualifying standing with her record-setting vault, was one of six different athletes to post individual wins at the Doden Fieldhouse, with junior Lashonda Davis (Kokomo, Ind.) finishing as the only Miami athlete with multiple individual wins.
		Landau, Davis and senior Lindsey Arundel (Rocky River, Ohio) each tallied top finishes in the pole vault (13-0), long jump (18-8) and shot put (44-9), respectively, with Landau setting both a meet record and fieldhouse record with her vault.
	muredhawks.cstv.com /sports/w-track/recaps/020306aaa.html (525 words)

	Re: Questions about Constructing QED
		I already gave you the formal definition of the Landau pole: it's a pole in the running coupling constant regarded as a function of momentum.
		That's true: I gave you this reference because it's a nice introduction to the concepts involved in the Landau pole phenomenon, not because it uses the term "Landau pole".
		It really makes the point that in the 1960s, after the discovery of the Landau pole but before the discovery of asymptotically free theories, most physicists believed quantum field theory was fundamentally flawed - due to the Landau pole.
	www.lns.cornell.edu /spr/2000-08/msg0027574.html (589 words)

	[No title]
		Montvay and Munster: Quantum Fields on a Lattice An extensive discussion of the Landau pole with a long discussion of the Luscher and Weisz investigation of the LP at strong coupling.
		Most people believe that the Landau Pole is real (even if the value of a_crit computed in perturbation theory is wrong) and that, therefore, QED does not exist as a continuum QFT.
		In this case the Landau pole is not real, but is simply the result of a mistake coming about from the use of improper integrals without paying sufficient attention to the manner of taking limits.
	www.math.niu.edu /~rusin/known-math/00_incoming/qft (4554 words)

	Re: A basic question about Landau pole
		Such formulae are consequences of the renormalization group running of the coupling constant of the schematic form 1/e^2 = 1/e0^2 - beta.ln(Lambda/E0) (###) The Landau pole is where 1/e^2 becomes zero, i.e.
		The other charged particle species contribute a positive amount to the beta function, but if their number is small enough, the beta function remains negative and the theory is asymptotically free.
		The increase of the coupling with energy will therefore stop at the unification scale, and the Landau pole will be avoided.
	www.lns.cornell.edu /spr/2003-09/msg0054028.html (397 words)

	Activity on Thermal Field Theory
		This fact has phenomenological consequences, since it means that near a second order phase transition one should expect sensible deviation from equilibrium for the distribution functions of soft particles.
		linear sigma model that the Landau pole position increases with the temperature, i.e.
		As a consequence the theory behaves perfectly well even at temperatures well beyond the zero-temperature Landau pole (which I remind can be at low energies for strongly coupled theories, like for instance the pion
	www.phyast.pitt.edu /~micheles/curriculum/node6.html (380 words)

	Landau Wins Pole Vault at NCAA Regional, Qualifies for National Meet :: Freshman Breaks Regional Record and Own Miami ...
		Sarah Landau is headed to the NCAA Championships.
		BLOOMINGTON, Ind. - With a pole vault of 13-7 3/4 on Friday afternoon at Indiana University, Miami freshman Sarah Landau (Geneva, Ill./Geneva) flew over her own Miami record, the NCAA Mideast Regional record and into the NCAA Championships next month in Sacramento.
		Landau topped her previous Miami mark by 4 1/4 inches and bested the regional mark by 1 1/2 inches.
	muredhawks.cstv.com /sports/w-track/recaps/052705aaa.html (235 words)

	Nine MAC Outdoor Track and Field Athletes Earn All-America Status :: 2005 NCAA Division I Outdoor Track and Field ...
		Akron had three All-Americans, Ashley Kaufman earned her first All-America honor and the first-ever for a Zips thrower with her finish in the women's javelin with a toss of 155-08 placing her seventh overall.
		John Russell tied for third in the men's pole vault with a height of 17-08.50, earning his third All-America award and his first outdoors.
		Julie Ward had a toss of 158-6 in the javelin while Jackie Rodgers had a school-record leap of 13-9.25 in the pole vault.
	mac-sports.cstv.com /sports/c-track/spec-rel/061205aab.html (337 words)

	abstract: Regos, Casimir Effect: Running Newton Constant or Cosmological Term (Site not responding. Last check: 2007-10-08)
		As a simple step toward the characterization of such a vacuum the value of the one-loop effective action is computed for Euclidean de Sitter spaces as a function of the curvature when the unstable conformal modes are held fixed.
		Two phases are found, one where the curvature is large and an IR Landau pole suggests confinement of gravitons and another one which appears to be weakly coupled and tends to be flat.
		The induced cosmological constant is positive or negative in the strongly or weakly curved phase, respectively.
	www.univie.ac.at /vienna.seminar/abstr_Regos.html (155 words)

	[WNS]
		Gribov horizon in the presence of dynamical mass generation in Euclidean Yang-Mills theories in the Landau gauge, R.F. Sobreiro, S.P. Sorella (UERJ), D. Dudal, H. Verschelde, Phys.
		A determination of and the non-perturbative vacuum energy of Yang-Mills theory in the Landau gauge, D. Dudal, H. Verschelde, R.E. Browne and J.A. Gracey (Liverpool University), Phys.Lett.B562 (2003) 87-96, hep-th/0302128
		Avoiding the Landau pole in perturbative QCD, Karel Van Acoleyen and Henri Verschelde, Phys.Rev.D66 125012 (2002), hep-ph/0203211
	wns.ugent.be /article.php3?id_article=82 (1013 words)

	Truth Quark, Higgs, and Vacua
		The first constraint is the so-called triviality bound: the running Higgs coupling constant lambda(mu) should not develop a Landau pole for mu < /\.
		The second is the vacuum stability bound: the running Higgs coupling constant lambda(mu) should not become negative leading to the instability of the usual SM vacuum.
		This means that the effective SM Higgs potential Veff (phi_ws) should have a second minimum degenerate with the well-known first minimum at the electroweak scale < phi_ws > = phi_vac1 = 246 GeV.
	www.valdostamuseum.org /hamsmith/TQvacua.html (2735 words)

	LvS (Site not responding. Last check: 2007-10-08)
		Infrared exponent for gluon and ghost propagation in Landau gauge QCD,
		The infrared behavior of QCD propagators in Landau gauge,
		The infrared behaviour of gluon and ghost propagators in Landau guage QCD,
	www.physics.adelaide.edu.au /theory/staff/smekal/lvs.html (587 words)

	[No title] (Site not responding. Last check: 2007-10-08)
		The gauge fixing parameter does not evolve, so that the longitudinal part of the photon propagator completely decouples from the evolution indicating that no gauge fixing is needed.
		No Landau pole appeared due to the evolution of the electron rest mass in addition to that of its electric charge.
		The results obtained are encouraging to derive a similar internal-space renormalization group equation for QCD without gauge fixing.
	dtp.atomki.hu /~sailer/rggau.html (288 words)

	E.S.Fradkin (Site not responding. Last check: 2007-10-08)
		He developed the Batalin-Fradkin-Vilkovisky method for quantizing for general constrained systems, found new ways to solve spin lattice models, tackled the problem of grand unification via exceptional groups and studied transfer processes in plasma.
		Fradkin introduced the method of Green's functions in relativistic statistics and discovered, alongside Landau and Pomeranchuk, the zero-charge behaviour of QED (better known in the West as the Landau pole).
		He discovered open algebras and invented the first example of gauge supergravity.
	www.esf.lpi.ru /fradkin.html (923 words)

	USM Women's Outdoor Track - Roster (Site not responding. Last check: 2007-10-08)
		Pole Vault/Jumps Winthrop, ME Winthrop Jessie Cotton * Sr.
		Multi-event South Burlington, VT South Burlington Caitlin Landau Fr.
		Pole Vault South Portland, ME South Portland Lindsay LeClerc Fr.
	www.usm.maine.edu /athl/Women's_Outdoor_Track/archives/wot04/wotroster.html (276 words)

	Andreas Ipp Data Tables
		The new result for the thermal pressure turns out to agree significantly better with results obtained from perturbation theory at small coupling.
		For large coupling, a nonmonotonic behaviour is reproduced, but the pressure of the strongly coupled theory does not exceed the free pressure as long as the Landau pole ambiguity remains negligible numerically.-->
		Abstract: We repeat and correct the calculations of the thermodynamic potential of hot QCD in the limit of large number N
	hep.itp.tuwien.ac.at /~ipp/data (410 words)

	Quantum Field Theory
		Vacuum polarization, Uehling potential, running coupling constant, Landau pole.
		The role, which the electron charge and spin play in phenomena leading to the Landau pole (qualitatively).
		Contribution to the wave function of the electron at small distances.
	www.phys.unsw.edu.au /~kmy/MyLecturesQFT/exam_program_QFT_05.htm (245 words)

	World: Land goes dark during last solar eclipse of the century
		People crowded rest stops on the A8, the so-called ``Eclipse Autobahn,'' because it follows the path of the eclipse.
		A 24-year-old student who climbed a 16-foot utility pole in Landau, near the French border in southern Germany, to get a prime eclipse viewing position accidentally touched the electrical line and received a 20,000-volt shock.
		For some it was a scientific wonder; for others, a spiritual phenomenon.
	www.seacoastonline.com /1999news/8_11_w1.htm (895 words)

	List of eponyms (L-Z): Encyclopedia topic (Site not responding. Last check: 2007-10-08)
		Lev Davidovich Landau (Lev Davidovich Landau: Soviet physicist who worked on low temperature physics (1908-1968)) – Landau pole (Landau pole: in physics, landau pole is the energy scale (or the precise value of the energy)...
		[follow hyperlink for more...]), Landau damping (Landau damping: in physics, landau damping, named after its discoverer, the eminent russian physicist...
		Robert Scott (Robert Scott: English explorer who reached the South Pole just a month after Amundsen; he and his party died on the return journey (1868-1912)), Antarctic explorer – Amundsen-Scott South Pole Station (Amundsen-Scott South Pole Station: the amundsen-scott south pole station is an american research station at earths south...
	www.absoluteastronomy.com /reference/list_of_eponyms_l-z (6420 words)

	Not Even Wrong » Blog Archive » Schroer Notes and Other Links
		If one produced a genuine anything for phi^4 in 3+1D without a cutoff, that would be worrisome.
		As I remember it, that theory has a Landau pole.
		The simplicity of the family of theories which correspond to tempered vacuum-polarization-free generators of wedge-localized algebras is their algebraic Zamolodchikov-Faddeev algebra structure.
	www.math.columbia.edu /~woit/wordpress/?p=374 (4634 words)

	What does Landau mean? (From D. Gross Lecture)
		We are driven to the conclusion\nthat the Hamiltonian method for strong interaction is dead and must be\nburied, although of course with deserved honor."\n\nWhat does Landau mean?
		We are driven to the conclusion\nandgt; that the Hamiltonian method for strong interaction is dead and must be\nandgt; buried, although of course with deserved honor."\nandgt;\nandgt; What does Landau mean?\n\nWithout hearing the context, I\'d guess that the reference is to the\nLandau pole.
		I think I remember hearing that Landau discovered the 'Landau pole' in a
	www.physicsforums.com /showthread.php?t=68425&goto=nextnewest (571 words)

	sciforums.com - 2004 Nobel Laureates Lecture Stockholm - Question on Beta function! (Site not responding. Last check: 2007-10-08)
		for electromagnetism, the coupling constant grows with energy (and even goes to infinity at the Landau pole.
		(and at higher energy levels, electromagnetism unifies with weak nuclear, so we don't have to worry about things like perturbation failing at high energy in QED or blowing up at the Landau pole, we only have to worry about what happens in the electroweak theory)
		perturbation theory works great, and we don't have to worry about things like the Landau pole.
	www.sciforums.com /archive/index.php/t-43140 (3851 words)

	[MaPhyAst]
		The anomalous dimension of the composite operator in the Landau gauge, D.Dudal, H.Verschelde, S.P. Sorella (UERJ, Universidade do Estado do Rio de Janeiro), hep-th/0212182, Phys.
		On the SL(2,R) symmetry in Yang-Mills Theories in the Landau, Curci-Ferrari and Maximal Abelian Gauge, D.Dudal, H.Verschelde, V.E.R. Lemes, M.S. Sarandy, S.P. Sorella (UERJ, Universidade do Estado do Rio de Janeiro) and M.Picariello (Universita degli Studi di Milano and INFN Milano), hep-th/0211007, JHEP 0212:008, 2002
		On ghost condensation, mass generation and Abelian dominance in the Maximal Abelian Gauge, David Dudal and Henri Verschelde, hep-th/0209025
	maphyast.rug.ac.be /article.php3?id_article=29 (578 words)

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