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The special theory of relativity describes the motion and dynamics of objects moving at significant fractions of the speed of light.

In Peskin and Schroder's Quantum field theory text (page 28, the passage below Eq. 2.53), it asserts that for a spacelike interval $(x-y)^2<0$, one can perform a Lorentz transformation taking $(x-y)\r … asked Nov 27 '16 by SRS 2answers Is it possible to construct an adjoint representation for the Lorentz group? asked Feb 13 '14 by SRS 1answer Suppose an inertial frame$S^\prime$is moving with a relative velocity$\textbf{v}=v\hat{n}$w.r.t another intertial frame S with their axes parallel and$\hat{n}$is an arbitrary direction. In that … asked Feb 17 '16 by SRS The situation is completely symmetric. Let the velocity of a frame A w.r.t another frame B is$\textbf{v}$. then from the perspective of A, the frame frame B has a relative velocity$-\textbf{v}$. Fro … answered Oct 13 '16 by SRS 1answer The conventional books on thermodynamics that I know, do not talk about the thermodynamics of relativistic systems. But in Cosmology, the thermodynamic concepts are often applied to the whole universe … asked Jan 6 '17 by SRS In field theory, each elementary particle is associated with a field of its own. One writes down a Lagrangian (density)$\mathscr{L}$for the field. When you quantize the theory you obtain particles. … answered Apr 10 '18 by SRS 2answers The commutator of two free scalar fields at two spacetime points$x$and$y$given by $$[\phi(x),\phi(y)]=\int\frac{d^3p}{(2\pi)^32E_{\textbf{p}}}[e^{-ip\cdot (x-y)}-e^{ip\cdot (x-y)}]$$ is Lorentz-in … asked Dec 26 '17 by SRS 3answers In non-relativistic quantum mechanics, causality is violated by saying that the amplitude of propagation of a particle $$A=\langle \textbf{x}|\exp{\Big(\frac{-i\textbf{p}^2t}{2m\hslash}}\Big)|\textbf{ … asked Sep 24 '17 by SRS 2answers Why is it said that the cut-off regularization is not a Lorentz invariant regularization method? asked Jun 24 '15 by SRS 1answer In the metric convention (+,-,-,-), the spacetime interval is given by$$x^2=x_\mu x^\mu=(x^0)^2-|\textbf{x}|^2=t^2-|\textbf{x}|^2$$in the units$c=1$. To make the theory Euclidean one considers th … asked Jan 25 '17 by SRS 1answer The conserved charge associated with the Lorentz transformation of a scalar field is given by$Q^{\alpha\beta}=\int d^3x\frac{1}{2}(x^\alpha T^{0\beta}-x^\beta T^{0\alpha})$. The quantities$Q^{ij}$a … asked Feb 6 '14 by SRS 2answers The group of Mobius transformations, denoted by${\rm Mob}(2,\mathbb{C})$, is isomorphic to${\rm SL}(2,\mathbb{C}))/\mathbb{Z}_2$which in turn is isomorphic to the Lorentz group${\rm SO}^+(3,1)$. … asked Jan 14 '18 by SRS Following the discussion with AcuriousMind, my current understanding is that the set of functions$\{e^{ik\cdot x}\}$(stationary solutions of KG equation) do not form a complete set if we exclude neg … answered Mar 25 '18 by SRS 3answers How can it be shown that the Dirac spinor is the direct sum of a right-handed Weyl spinor and a left-handed Weyl spinor? EDIT: - Let$\psi_L$and$\psi_R\$ be 2 component left-handed and right-handed …