Erick Weinberg
eric weinberger nfl, eric weinbergErick J Weinberg born August 29, 1947 is a theoretical physicist and professor of physics at Columbia University
Weinberg received his undergraduate degree from Manhattan College in 1968 He obtained his PhD from Harvard University in 1973[2] under the supervision of Sidney Coleman, with whom he discovered the Coleman–Weinberg mechanism for spontaneous symmetry breaking in quantum field theory Weinberg works on various branches in highenergy theory, including black holes, vortices, Chern–Simons theory, magnetic monopoles in gauge theories and cosmic inflation He also serves as the Editor of Physical Review D, as well as a visiting scholar of Korea Institute for Advanced Study KIAS[3]
Contents
 1 Academic career
 2 Notable Works
 21 Coleman–Weinberg potential
 22 Dimensional transmutation
 23 The graceful exit problem of old inflation
 24 Lee–Weinberg–Yi metric
 3 Selected articles and book
 4 Awards
 5 References
 6 External links
Academic career
After receiving his doctorate, Weinberg went to the Institute for Advanced Study in Princeton, New Jersey as a postdoctoral researcher In 1975, he became an assistant professor of physics at Columbia University He was promoted to full professor in 1987 From 2002 to 2006, Weinberg served as the chair of Columbia University's physics department Weinberg is still actively researching BPS monopoles and vacuum decay
Notable Works
Weinberg has worked on various branches in theoretical high energy physics, including the theory of spontaneous symmetry breaking, inflation, the theory of supersymmetric solitons, and the theory of vacuum decay via the nucleation of quantum/thermal bubbles
Coleman–Weinberg potential
Spontaneous symmetry breaking occurs in a theory when the state with lowest energy doesn't have as many symmetries as the theory itself, therefore one sees degenerate vacua connected by the quotient between the symmetry of the theory and the symmetry of the state, and the particle spectrum is classified by the symmetry group of the lowest energy statevacuum In the case that the quotient can be parametrized by continuous parameters, the local fluctuations of these parameters can be regarded as bosonic excitations if the symmetry is bosonic, usually called Goldstone boson, which has profound implications When coupled to gauge fields, these bosons mix into the longitudinal polarizations of the gauge fields and give masses to the fields, this is how Higgs mechanism works
Usually the way to realize spontaneous symmetry breaking is to introduce a scalar field that has a tachyonic mass parameter, classically, then the classical vacuum is the solution that stays at the bottom of the potential, with the leading quantum contribution from the uncertainty principle, the vacuum can be viewed as a Gaussian wave packet around the lowest point of the potential
The possibility that pointed out by Coleman and EWeinberg is, even at the classical level one tunes the mass of the scalar field to be zero, quantum correction is able to modify the effective potential, turning the point that enjoys the whole symmetry of the theory from a local minima to a maxima, and generate new minimavacuum at configurations with less symmetry Therefore spontaneous symmetry breaking can have a pure quantum origin
Another important point about the mechanism is, the potential remains flat with the quantum correction, if we introduce appropriate counterterm to cancel the mass renormalization, with the minimum/maximum transition induced by a Loglike term V = λ 4 ! ϕ 4 + λ 2 ϕ 4 256 π 2 ln ϕ 2 M 2 − 25 6 }\phi ^+\phi ^}}}\ln }}}}}
Therefore it gives a natural arena for the idea of slowroll inflation introduced by Linde, Albrecht and Steinhardt, which is still playing the dominant role among the theories of early universe
Dimensional transmutation
In the original paper of ColemanWeinberg, as well as in the thesis of Erick Weinberg, Coleman and Weinberg discussed the renormalization of the couplings in various theories, and introduced the concept of "dimensional transmutation"the running of coupling constants renders some coupling determined by an arbitrary energy scale, therefore although classically one starts from a theory in which there are several arbitrary dimensionless constants,one ends up with a theory with an arbitrary dimensionful parameter
The graceful exit problem of old inflation
In a paper with Alan Guth,[4] Erick Weinberg discussed the possibility of ending the inflation with thermalization of vacuum bubbles
The original proposal of inflation is, the exponentially growing phase ends via the nucleation of Colemande Luccia bubbles with a low vacuum energy, these bubbles collide and thermalize, leaving a homogeneous universe with high temperature However, as the exponential growth of the nearde Sitter universe dilutes the bubbles nucleated, it is not obvious that the bubbles will really coalesse, in fact Guth and Weinberg proved the following statements:
 "If the nucleation rate is sufficiently slow compared to the expansion rate, then the probability of any certain point in the universe to lie within an infinite volume bubble cluster will vanish, in another word, bubbles don't percolate the whole universe if the nucleation rate is small"
 "In any prechosen coordinate system, any typical bubble will dominate its own cluster In other words, for any bubble, the probability for the cluster it belongs to extend beyond this bubble by a large coordinate distance is suppressed when the nucleation rate is small"
The second statement suggests in a fixed coordinate any chosen bubble would be the largest in its own cluster, but this is a coordinatedependent statement, after choosing the bubble, one can always find another coordinate in which there are bigger bubbles in the same cluster
According to these statements, if the nucleation rate of bubbles is small, we will end up with bubbles that form clusters and will not collide with each other, with the heat release from vacuum decay stored in the domainwalls, quite different from what the hot BigBang starts from
This problem called "graceful exit problem", discussed independently later by Hawking, Moss and Stewart,[5] then solved by the proposal of new inflation by Linde,[6] Abrecht and Steinhardt,[7] which makes use of ColemanWeinberg mechanism to generate the inflaton potential that satisfies slowroll conditions
Lee–Weinberg–Yi metric
The existence of magnetic monopoles has long been an interesting and profound possibility Such solitons could potentially explain the quantization of electric charge, as pointed out by Dirac; they can arise as the classical solutions in gauge theories, as pointed out by Polyakov and 't Hooft; and the inability to detect them is one of the motivations of proposing a period of inflation before the hot BigBang phase
The dynamics of magnetic monopole solutions is especially simple when the theory is at BPS limitwhen it can be extended to include fermionic sectors to form a supersymmetric theory In these cases, the multimonopole solutions can be explicitly obtained, the monopoles in a system are basically free because the interaction mediated by Higgs field is cancelled by the gauge interaction in the case of a maximally broken gauge group into U 1 k } , the multimonopole solution can be viewed as weakly interacting particles, each carrying a U 1 phase factor, therefore when considering the low energy processes the total number of degrees of freedom for n monopoles is 4n, in 4dimensional spacetime3 for spatial position and one for the phase factor The dynamics can be reduced to the motion inside a 4n dimensional space with a nontrivial metric from the interactions among the monopoles, so called "moduli space approximation"
Erick Weinberg, with Kimyeong Lee and Piljin Yi, did a calculation for the moduli space metric in the case of wellseparated monopoles, with an arbitrary large compact gauge group G }} maximally broken into products of U1's, and argued that in some certain cases the metric can be exactvalid for crowded monopole system This calculation is known as "Lee–Weinberg–Yi metric"
Selected articles and book
 "Classical Solutions in Quantum Field Theory" 2012 http://wwwcupcamacuk/aus/catalogue/catalogueaspisbn=9781139574617&ss=exc
 Coleman, Sidney; Weinberg, Erick 1973 "Radiative Corrections as the Origin of Spontaneous Symmetry Breaking" Physical Review D 7 6: 1888 arXiv:hepth/0507214 Bibcode:1973PhRvD71888C doi:101103/PhysRevD71888
 Guth, Alan H; Weinberg, Erick J 1983 "Could the universe have recovered from a slow firstorder phase transition" Nuclear Physics B 212 2: 321–64 Bibcode:1983NuPhB212321G doi:101016/0550321383903073
 Jackiw, R; Weinberg, Erick J 1990 "Selfdual ChernSimons vortices" Physical Review Letters 64 19: 2234–2237 Bibcode:1990PhRvL642234J doi:101103/PhysRevLett642234 PMID 10041622
 Lee, Kimyeong; Weinberg, Erick J; Yi, Piljin 1996 "Moduli space of many BPS monopoles for arbitrary gauge groups" Physical Review D 54 2: 1633 arXiv:hepth/9602167 Bibcode:1996PhRvD541633L doi:101103/PhysRevD541633
 Weinberg, Erick J; Yi, Piljin 2007 "Magnetic monopole dynamics, supersymmetry, and duality" Physics Reports 438 2–4: 65–236 arXiv:hepth/0609055 Bibcode:2007PhR43865W doi:101016/jphysrep200611002
Awards
This section is empty You can help by adding to it January 2013 
References
 ^ Biography on APS
 ^ Faculty biography at Columbia
 ^ Phys Rev D staff listing
 ^ Guth, Alan H; Weinberg, Erick J 1983 "Could the universe have recovered from a slow firstorder phase transition" Nuclear Physics B 212 2: 321–64 Bibcode:1983NuPhB212321G doi:101016/0550321383903073
 ^ Hawking, S W; Moss, I G; Stewart, J M 1982 "Bubble collisions in the very early universe" Physical Review D 26 10: 2681 Bibcode:1982PhRvD262681H doi:101103/PhysRevD262681
 ^ Linde, AD 1982 "A new inflationary universe scenario: A possible solution of the horizon, flatness, homogeneity, isotropy and primordial monopole problems" Physics Letters B 108 6: 389–93 Bibcode:1982PhLB108389L doi:101016/0370269382912199
 ^ Albrecht, Andreas; Steinhardt, Paul J 1982 "Cosmology for Grand Unified Theories with Radiatively Induced Symmetry Breaking" Physical Review Letters 48 17: 1220 Bibcode:1982PhRvL481220A doi:101103/PhysRevLett481220
External links
 Personal homepage
 Webpage at KIAS
Authority control 


eric weinberg, eric weinberg attorney, eric weinberg bbc, eric weinberg photographer, eric weinberg producer, eric weinberg scrubs, eric weinberg writer, eric weinberger nfl, erick j. weinberg, erick weinberg en valdivia
Erick Weinberg Information about

Erick Weinberg beatiful post thanks!
29.10.2014
Erick Weinberg
Erick Weinberg
Erick Weinberg viewing the topic.
There are excerpts from wikipedia on this article and video
Random Posts
Body politic
The body politic is a metaphor that regards a nation as a corporate entity,2 likened to a human body...Kakamega
Kakamega is a town in western Kenya lying about 30 km north of the Equator It is the headquarte...Academic year
An academic year is a period of time which schools, colleges and universities use to measure a quant...Lucrezia Borgia
Lucrezia Borgia Italian pronunciation: luˈkrɛttsja ˈbɔrdʒa; Valencian: Lucrècia Borja luˈkrɛsia...Search Engine
Our site has a system which serves search engine function.
You can search all data in our system with above button which written "What did you look for? "
Welcome to our simple, stylish and fast search engine system.
We have prepared this method why you can reach most accurate and most up to date knowladge.
The search engine that developed for you transmits you to the latest and exact information with its basic and quick system.
You can find nearly everything data which found from internet with this system.
Random Posts
Book
A book is a set of written, printed, illustrated, or blank sheets, made of ink, paper, parchment, or...Boston Renegades
Boston Renegades was an American women’s soccer team, founded in 2003 The team was a member of the U...Sa Caleta Phoenician Settlement
Sa Caleta Phoenician Settlement can be found on a rocky headland about 10 kilometers west of Ibiza T...Bodybuilding.com
Bodybuildingcom is an American online retailer based in Boise, Idaho, specializing in dietary supple...© Copyright © 2014. Search Engine