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I was wondering how feasible Laser Plasma Acceleration for the post-LHC world is. It seems very promising.

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This is one of several related techniques often lumped together as "wakefield accelration", and people are working on it. How does the wikipedia article fail to enlighten you? – dmckee Jan 24 '13 at 22:34
Welcome to! Your question seems a little too broard and it resambles more an invitation to discuss the theme than a question.Try to go to the point. – c.p. Jan 24 '13 at 22:55
You might be interested in having a look at my answer here: – DarioP Aug 12 '15 at 10:06

While the technology is promising, we are still very far from being capable of building a machine based on it, especially at the energy frontier.

Indeed ALL the existing post-LHC projects (circular or linear, leptonic or hadronic) are based on conventional radio frequency acceleration.

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