4,625 research outputs found
Current fluctuations for independent random walks in multiple dimensions
Consider a system of particles evolving as independent and identically
distributed (i.i.d.) random walks. Initial fluctuations in the particle density
get translated over time with velocity , the common mean velocity of
the random walks. Consider a box centered around an observer who starts at the
origin and moves with constant velocity . To observe interesting
fluctuations beyond the translation of initial density fluctuations, we measure
the net flux of particles over time into this moving box. We call this the
``box-current" process.
We generalize this current process to a distribution valued process. Scaling
time by and space by gives current fluctuations of order
where is the space dimension. The scaling limit of the normalized
current process is a distribution valued Gaussian process with given
covariance. The limiting current process is equal in distribution to the
solution of a given stochastic partial differential equation which is related
to the generalized Ornstein-Uhlenbeck process.Comment: 31 pages; accepted for publication in Journal of Theoretical
Probabilit
Story of a journey: Rutherford to the Large Hadron Collider and onwards
In this article, I set out arguments why the Large Hadron Collider (LHC) :
the machine and the experiments with it, are a watershed for particle physics.
I give a historical perspective of the essential link between development of
particle accelerators and that in our knowledge of the laws governing
interactions among the fundamental particles, showing how this journey has
reached destination LHC. I explain how the decisions for the LHC design; the
energy and number of particles in the beam, were arrived at. I will end by
discussing the LHC physics agenda and the time line in which the particle
physicists hope to achieve it.Comment: 30 pages, 6 figures, LaTe
Physics Potential of the Next Generation Colliders
In this article I summarize some aspects of the current status of the field
of high energy physics and discuss how the next generation of high energy
colliders will aid in furthering our basic understanding of elementary
particles and interactions among them, by shedding light on the mechanism for
the spontaneous breakdown of the Electroweak Symmetry.Comment: 42 pages, 27 figures, LaTeX, Invited article for the special issue on
High Energy Physics of the Indian Journal of Physics on the occasion of its
Platinum Jubile
Supersymmetry at the PLC
In this talk I will begin with a very brief discussion as to why TeV scale
Supersymmetry forms an important subject of the studies at all the current and
future Colliders. Then, I will give different examples where the Photon Linear
Collider, PLC, will be able to make unique contributions. PlC's most important
role is in the context of Higgs Physics, due to its ability of accurate
determination of as well as the possibilities it
offers for the determination of the CP property of the Higgs boson and of
possible CP mixing in the Higgs sector. Further, the PLC can provide probes of
SUSY in the regions of the SUSY parameter space, which are either difficult or
inaccessible at the LHC and also in the mode of the International
Linear Collider (ILC).Comment: 14 pages, LaTeX, 8 figures, uses appolb.cls, included in the
submission, talk presented at the PLC2005 workshop, Kazimierz Sept. 5-8,
2005, To appear in Acta Physica Polonic
Photon Structure Function
After briefly explaining the idea of photon structure functions (\f2gam\ ,
\flgam) I review the current theoretical and experimental developements in the
subject of extraction of \qvph\ from a study of the Deep Inelastic Scattering
(DIS). I then end by pointing out recent progress in getting information about
the parton content of the photon from hard processes other than DIS.Comment: 14 pages, 6 postscript figures, latex, uses equation.sty and
epsfig.sty .sty files not adde
Physics potential of the LHC
The basic aim of physics studies at the LHC is to unravel the mechanism
responsible for the spontaneous symmetry breaking in the Standard Model (SM).
In the currently accepted theoretical picture, this translates into finding
`direct' experimental evidence for the Higgs sector. TeV scale supersymmetry
(SUSY) provides a very attractive solution to the `naturalness' problem that
theories with elementary scalar fields have. Hence in this talk I will
summarise the physics potential of the LHC for searching for Higgs and
Supersymmetry as well as for measurement of the parameters of the Higgs sector
and the SUSY model. Theories with localised gravity (and large extra
dimensions) give a credible option to have Standard Model without the attendant
`naturalness' problems. I will therefore also summarise the potential of LHC to
probe these `large' extra dimensions.Comment: Invited talk at the Asia Pacific Physics Conference 2000 and III ACFA
Linear Collider Workshop, 19 pages, 11 figures, LaTe
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